125582165136 has 60 divisors (see below), whose sum is σ = 356270133388. Its totient is φ = 41287283712.

The previous prime is 125582165099. The next prime is 125582165143. The reversal of 125582165136 is 631561285521.

125582165136 is a `hidden beast` number, since 1 + 2 + 5 + 582 + 1 + 65 + 1 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84939605136 + 40642560000 = 291444^2 + 201600^2 .

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 125582165091 and 125582165100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5962765 + ... + 5983788.

Almost surely, 2^125582165136 is an apocalyptic number.

125582165136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

125582165136 is an abundant number, since it is smaller than the sum of its proper divisors (230687968252).

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

125582165136 is a wasteful number, since it uses less digits than its factorization.

125582165136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11946640 (or 11946631 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The spelling of 125582165136 in words is "one hundred twenty-five billion, five hundred eighty-two million, one hundred sixty-five thousand, one hundred thirty-six".