125537806152 has 256 divisors, whose sum is σ = 389998540800. Its totient is φ = 37087061760.

The previous prime is 125537806129. The next prime is 125537806223. The reversal of 125537806152 is 251608735521.

125537806152 is a `hidden beast` number, since 1 + 2 + 5 + 537 + 8 + 0 + 61 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 125537806098 and 125537806107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84083518 + ... + 84085010.

It is an arithmetic number, because the mean of its divisors is an integer number (1523431800).

Almost surely, 2^125537806152 is an apocalyptic number.

125537806152 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 125537806152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194999270400).

125537806152 is an abundant number, since it is smaller than the sum of its proper divisors (264460734648).

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

125537806152 is a wasteful number, since it uses less digits than its factorization.

125537806152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 125537806152 in words is "one hundred twenty-five billion, five hundred thirty-seven million, eight hundred six thousand, one hundred fifty-two".