125538081800 has 24 divisors (see below), whose sum is σ = 291876040650. Its totient is φ = 50215232640.

The previous prime is 125538081761. The next prime is 125538081829. The reversal of 125538081800 is 8180835521.

It can be written as a sum of positive squares in 3 ways, for example, as 92188747876 + 33349333924 = 303626^2 + 182618^2 .

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, 313845005 + ... + 313845404.

Almost surely, 2^125538081800 is an apocalyptic number.

125538081800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125538081800 is an abundant number, since it is smaller than the sum of its proper divisors (166337958850).

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

125538081800 is a wasteful number, since it uses less digits than its factorization.

125538081800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627690425 (or 627690416 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 41.

The spelling of 125538081800 in words is "one hundred twenty-five billion, five hundred thirty-eight million, eighty-one thousand, eight hundred".