138206725956 has 60 divisors (see below), whose sum is σ = 389091976812. Its totient is φ = 42525145152.

The previous prime is 138206725949. The next prime is 138206726023. The reversal of 138206725956 is 659527602831.

138206725956 is a `hidden beast` number, since 1 + 382 + 0 + 6 + 7 + 259 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75498552900 + 62708173056 = 274770^2 + 250416^2 .

It is a super-2 number, since 2×138206725956² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16402095 + ... + 16410518.

Almost surely, 2^138206725956 is an apocalyptic number.

It is an amenable number.

138206725956 is an abundant number, since it is smaller than the sum of its proper divisors (250885250856).

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

138206725956 is a wasteful number, since it uses less digits than its factorization.

138206725956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32812642 (or 32812631 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 138206725956 in words is "one hundred thirty-eight billion, two hundred six million, seven hundred twenty-five thousand, nine hundred fifty-six".