125027751264 has 96 divisors (see below), whose sum is σ = 354034052064. Its totient is φ = 38405836800.

The previous prime is 125027751263. The next prime is 125027751307. The reversal of 125027751264 is 462157720521.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×125027751264² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125027751263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 666702 + ... + 833394.

It is an arithmetic number, because the mean of its divisors is an integer number (3687854709).

Almost surely, 2^125027751264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125027751264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177017026032).

125027751264 is an abundant number, since it is smaller than the sum of its proper divisors (229006300800).

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

125027751264 is a wasteful number, since it uses less digits than its factorization.

125027751264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167320 (or 167312 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 125027751264 in words is "one hundred twenty-five billion, twenty-seven million, seven hundred fifty-one thousand, two hundred sixty-four".