125067951264 has 24 divisors (see below), whose sum is σ = 328303372320. Its totient is φ = 41689317056.

The previous prime is 125067951257. The next prime is 125067951319. The reversal of 125067951264 is 462159760521.

125067951264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×125067951264³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 651395484 + ... + 651395675.

It is an arithmetic number, because the mean of its divisors is an integer number (13679307180).

Almost surely, 2^125067951264 is an apocalyptic number.

It is an amenable number.

125067951264 is an abundant number, since it is smaller than the sum of its proper divisors (203235421056).

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

125067951264 is a wasteful number, since it uses less digits than its factorization.

125067951264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302791172 (or 1302791164 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 125067951264 in words is "one hundred twenty-five billion, sixty-seven million, nine hundred fifty-one thousand, two hundred sixty-four".