125834195520 has 896 divisors, whose sum is σ = 508295208960. Its totient is φ = 29030400000.

The previous prime is 125834195503. The next prime is 125834195567. The reversal of 125834195520 is 25591438521.

125834195520 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 34 + 1 + 95 + 520 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 167555145 + ... + 167555895.

It is an arithmetic number, because the mean of its divisors is an integer number (567293760).

Almost surely, 2^125834195520 is an apocalyptic number.

125834195520 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 125834195520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254147604480).

125834195520 is an abundant number, since it is smaller than the sum of its proper divisors (382461013440).

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

125834195520 is a wasteful number, since it uses less digits than its factorization.

125834195520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 125834195520 in words is "one hundred twenty-five billion, eight hundred thirty-four million, one hundred ninety-five thousand, five hundred twenty".