125871181600 has 36 divisors (see below), whose sum is σ = 307283024034. Its totient is φ = 50348472320.

The previous prime is 125871181549. The next prime is 125871181637. The reversal of 125871181600 is 6181178521.

It can be written as a sum of positive squares in 3 ways, for example, as 70252562704 + 55618618896 = 265052^2 + 235836^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 78668689 + ... + 78670288.

Almost surely, 2^125871181600 is an apocalyptic number.

125871181600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125871181600 is an abundant number, since it is smaller than the sum of its proper divisors (181411842434).

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

125871181600 is a wasteful number, since it uses less digits than its factorization.

125871181600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157338997 (or 157338984 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 40.

The spelling of 125871181600 in words is "one hundred twenty-five billion, eight hundred seventy-one million, one hundred eighty-one thousand, six hundred".