125535031445200 has 60 divisors (see below), whose sum is σ = 324797752525708. Its totient is φ = 46351396224000.

The previous prime is 125535031445179. The next prime is 125535031445203. The reversal of 125535031445200 is 2544130535521.

It can be written as a sum of positive squares in 6 ways, for example, as 10748063923776 + 114786967521424 = 3278424^2 + 10713868^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125535031445203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12070670901 + ... + 12070681300.

Almost surely, 2^{125535031445200} is an apocalyptic number.

125535031445200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125535031445200 is an abundant number, since it is smaller than the sum of its proper divisors (199262721080508).

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

125535031445200 is a wasteful number, since it uses less digits than its factorization.

125535031445200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24141352232 (or 24141352221 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

The spelling of 125535031445200 in words is "one hundred twenty-five trillion, five hundred thirty-five billion, thirty-one million, four hundred forty-five thousand, two hundred".