125120189376 has 560 divisors, whose sum is σ = 467692800960. Its totient is φ = 32188907520.

The previous prime is 125120189351. The next prime is 125120189387. The reversal of 125120189376 is 673981021521.

125120189376 is a `hidden beast` number, since 1 + 251 + 20 + 1 + 8 + 9 + 376 = 666.

It is a super-2 number, since 2×125120189376² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19338270 + ... + 19344738.

It is an arithmetic number, because the mean of its divisors is an integer number (835165716).

Almost surely, 2^125120189376 is an apocalyptic number.

125120189376 is a gapful number since it is divisible by the number (16) 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 125120189376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233846400480).

125120189376 is an abundant number, since it is smaller than the sum of its proper divisors (342572611584).

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

125120189376 is a wasteful number, since it uses less digits than its factorization.

125120189376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6554 (or 6535 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 125120189376 in words is "one hundred twenty-five billion, one hundred twenty million, one hundred eighty-nine thousand, three hundred seventy-six".