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136975522960 = 24523166744657
BaseRepresentation
bin111111110010001100…
…0001001110010010000
3111002120001121112020001
41333210120021302100
54221011213213320
6142531540455344
712616244506663
oct1774430116220
9432501545201
10136975522960
1153100125841
12226689aa554
13cbbc0ba603
1468b5a936da
15386a44520a
hex1fe4609c90

136975522960 has 80 divisors (see below), whose sum is σ = 332521324416. Its totient is φ = 52375414784.

The previous prime is 136975522913. The next prime is 136975522961. The reversal of 136975522960 is 69225579631.

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

It is not an unprimeable number, because it can be changed into a prime (136975522961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3044952 + ... + 3089608.

Almost surely, 2136975522960 is an apocalyptic number.

136975522960 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 136975522960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166260662208).

136975522960 is an abundant number, since it is smaller than the sum of its proper divisors (195545801456).

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

136975522960 is a wasteful number, since it uses less digits than its factorization.

136975522960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46360 (or 46354 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 55.

The spelling of 136975522960 in words is "one hundred thirty-six billion, nine hundred seventy-five million, five hundred twenty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1667 1840 3334 6668 8335 13336 16670 26672 33340 38341 44657 66680 76682 89314 133360 153364 178628 191705 223285 306728 357256 383410 446570 613456 714512 766820 893140 1027111 1533640 1786280 2054222 3067280 3572560 4108444 5135555 8216888 10271110 16433776 20542220 41084440 74443219 82168880 148886438 297772876 372216095 595545752 744432190 1191091504 1488864380 1712194037 2977728760 3424388074 5955457520 6848776148 8560970185 13697552296 17121940370 27395104592 34243880740 68487761480 136975522960