125357137920 has 448 divisors, whose sum is σ = 509388099840. Its totient is φ = 28651290624.

The previous prime is 125357137849. The next prime is 125357137921. The reversal of 125357137920 is 29731753521.

125357137920 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 571 + 3 + 79 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (125357137921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7733344 + ... + 7749536.

Almost surely, 2^125357137920 is an apocalyptic number.

125357137920 is a gapful number since it is divisible by the number (10) 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 125357137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254694049920).

125357137920 is an abundant number, since it is smaller than the sum of its proper divisors (384030961920).

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

125357137920 is an equidigital number, since it uses as much as digits as its factorization.

125357137920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16240 (or 16210 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 125357137920 in words is "one hundred twenty-five billion, three hundred fifty-seven million, one hundred thirty-seven thousand, nine hundred twenty".