125095814021376 has 1215 divisors, whose sum is σ = 430008190363983. Its totient is φ = 36141546608640.

The previous prime is 125095814021317. The next prime is 125095814021393. The reversal of 125095814021376 is 673120418590521.

The square root of 125095814021376 is 11184624.

It is a perfect power (a square), and thus also a powerful number.

125095814021376 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 9 + 581 + 4 + 0 + 21 + 37 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 407478221415 + ... + 407478221721.

It is a 1-persistent number, because it is pandigital, but 2⋅125095814021376 = 250191628042752 is not.

Almost surely, 2^{125095814021376} is an apocalyptic number.

125095814021376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

125095814021376 is the 11184624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125095814021376

125095814021376 is an abundant number, since it is smaller than the sum of its proper divisors (304912376342607).

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

125095814021376 is an frugal number, since it uses more digits than its factorization.

125095814021376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 125095814021376 in words is "one hundred twenty-five trillion, ninety-five billion, eight hundred fourteen million, twenty-one thousand, three hundred seventy-six".