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137969564401152 = 2932115081535709
BaseRepresentation
bin11111010111101110001010…
…111000000011111000000000
3200002111202120011110001222100
4133113232022320003320000
5121040443131441314102
61205234202021310400
741026654265332461
oct3727561270037000
9602452504401870
10137969564401152
113aa63622277590
1213583513b65400
135bca62178a453
14260da96602d68
1510e3d8953da1c
hex7d7b8ae03e00

137969564401152 has 240 divisors, whose sum is σ = 434474854173360. Its totient is φ = 41800652390400.

The previous prime is 137969564401069. The next prime is 137969564401157. The reversal of 137969564401152 is 251104465969731.

137969564401152 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 6 + 9 + 564 + 4 + 0 + 11 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 137969564401152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137969564401157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257277874 + ... + 257813582.

It is an arithmetic number, because the mean of its divisors is an integer number (1810311892389).

Almost surely, 2137969564401152 is an apocalyptic number.

137969564401152 is a gapful number since it is divisible by the number (12) 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 137969564401152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217237427086680).

137969564401152 is an abundant number, since it is smaller than the sum of its proper divisors (296505289772208).

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

137969564401152 is a wasteful number, since it uses less digits than its factorization.

137969564401152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540825 (or 540806 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 137969564401152 in words is "one hundred thirty-seven trillion, nine hundred sixty-nine billion, five hundred sixty-four million, four hundred one thousand, one hundred fifty-two".