125914464 has 144 divisors (see below), whose sum is σ = 389844000. Its totient is φ = 38548224.

The previous prime is 125914447. The next prime is 125914469. The reversal of 125914464 is 464419521.

125914464 is a `hidden beast` number, since 1 + 2 + 591 + 4 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125914469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 632637 + ... + 632835.

It is an arithmetic number, because the mean of its divisors is an integer number (2707250).

Almost surely, 2^125914464 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 125914464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194922000).

125914464 is an abundant number, since it is smaller than the sum of its proper divisors (263929536).

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

125914464 is a wasteful number, since it uses less digits than its factorization.

125914464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 217 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 125914464 is about 11221.1614372132. The cubic root of 125914464 is about 501.2163240457.

The spelling of 125914464 in words is "one hundred twenty-five million, nine hundred fourteen thousand, four hundred sixty-four".