125664154056 has 512 divisors, whose sum is σ = 431456256000. Its totient is φ = 33108590592.

The previous prime is 125664154009. The next prime is 125664154061. The reversal of 125664154056 is 650451466521.

125664154056 is a `hidden beast` number, since 1 + 2 + 5 + 66 + 41 + 540 + 5 + 6 = 666.

It is a super-2 number, since 2×125664154056² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 163412040 + ... + 163412808.

It is an arithmetic number, because the mean of its divisors is an integer number (842688000).

Almost surely, 2^125664154056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125664154056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215728128000).

125664154056 is an abundant number, since it is smaller than the sum of its proper divisors (305792101944).

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

125664154056 is a wasteful number, since it uses less digits than its factorization.

125664154056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 125664154056 in words is "one hundred twenty-five billion, six hundred sixty-four million, one hundred fifty-four thousand, fifty-six".