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132138025317520 = 24589157118208353
BaseRepresentation
bin11110000010110111001000…
…000011110111010010010000
3122022212021100011211202100221
4132002313020003313102100
5114304422133440130040
61145011212032322424
736555441310101205
oct3602671003672220
9568767304752327
10132138025317520
1139115470507a62
12129a12993a3414
135896740559a71
14248b72bcd1cac
15104232ec3674a
hex782dc80f7490

132138025317520 has 80 divisors (see below), whose sum is σ = 312651639661680. Its totient is φ = 51928456200192.

The previous prime is 132138025317517. The next prime is 132138025317539. The reversal of 132138025317520 is 25713520831231.

It can be written as a sum of positive squares in 8 ways, for example, as 3860564788224 + 128277460529296 = 1964832^2 + 11325964^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57986337 + ... + 60222016.

It is an arithmetic number, because the mean of its divisors is an integer number (3908145495771).

Almost surely, 2132138025317520 is an apocalyptic number.

132138025317520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132138025317520 is an abundant number, since it is smaller than the sum of its proper divisors (180513614344160).

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

132138025317520 is a wasteful number, since it uses less digits than its factorization.

132138025317520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118208612 (or 118208606 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 132138025317520 in words is "one hundred thirty-two trillion, one hundred thirty-eight billion, twenty-five million, three hundred seventeen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 157 178 314 356 445 628 712 785 890 1256 1424 1570 1780 2512 3140 3560 6280 7120 12560 13973 27946 55892 69865 111784 139730 223568 279460 558920 1117840 118208353 236416706 472833412 591041765 945666824 1182083530 1891333648 2364167060 4728334120 9456668240 10520543417 18558711421 21041086834 37117422842 42082173668 52602717085 74234845684 84164347336 92793557105 105205434170 148469691368 168328694672 185587114210 210410868340 296939382736 371174228420 420821736680 742348456840 841643473360 1484696913680 1651725316469 3303450632938 6606901265876 8258626582345 13213802531752 16517253164690 26427605063504 33034506329380 66069012658760 132138025317520