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132154013050000 = 24554241623221
BaseRepresentation
bin11110000011000110000001…
…000000001110010010010000
3122022220210121101120201021221
4132003012001000032102100
5114310202404320100000
61145022414313054424
736556545432426154
oct3603060100162220
9568823541521257
10132154013050000
1139121225134007
12129a43bb6b7414
1358980ba9092b6
14248c40738d064
15104296860761a
hex78318100e490

132154013050000 has 120 divisors (see below), whose sum is σ = 320115993468264. Its totient is φ = 52849056000000.

The previous prime is 132154013049991. The next prime is 132154013050001. The reversal of 132154013050000 is 50310451231.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 102592913561856 + 29561099488144 = 10128816^2 + 5437012^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (132154013050001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211738390 + ... + 212361610.

Almost surely, 2132154013050000 is an apocalyptic number.

132154013050000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132154013050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160057996734132).

132154013050000 is an abundant number, since it is smaller than the sum of its proper divisors (187961980418264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132154013050000 is an frugal number, since it uses more digits than its factorization.

132154013050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627495 (or 627469 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The spelling of 132154013050000 in words is "one hundred thirty-two trillion, one hundred fifty-four billion, thirteen million, fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3125 4241 5000 6250 8482 10000 12500 16964 21205 25000 33928 42410 50000 67856 84820 106025 169640 212050 339280 424100 530125 623221 848200 1060250 1246442 1696400 2120500 2492884 2650625 3116105 4241000 4985768 5301250 6232210 8482000 9971536 10602500 12464420 13253125 15580525 21205000 24928840 26506250 31161050 42410000 49857680 53012500 62322100 77902625 106025000 124644200 155805250 212050000 249288400 311610500 389513125 623221000 779026250 1246442000 1558052500 1947565625 2643080261 3116105000 3895131250 5286160522 6232210000 7790262500 10572321044 13215401305 15580525000 21144642088 26430802610 31161050000 42289284176 52861605220 66077006525 105723210440 132154013050 211446420880 264308026100 330385032625 528616052200 660770065250 1057232104400 1321540130500 1651925163125 2643080261000 3303850326250 5286160522000 6607700652500 8259625815625 13215401305000 16519251631250 26430802610000 33038503262500 66077006525000 132154013050000