125638164 has 72 divisors (see below), whose sum is σ = 331315712. Its totient is φ = 40098240.

The previous prime is 125638111. The next prime is 125638181. The reversal of 125638164 is 461836521.

It is a happy number.

125638164 is a `hidden beast` number, since 1 + 2 + 5 + 638 + 16 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114402 + ... + 115494.

Almost surely, 2^125638164 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 125638164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165657856).

125638164 is an abundant number, since it is smaller than the sum of its proper divisors (205677548).

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

125638164 is a wasteful number, since it uses less digits than its factorization.

125638164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1232 counting only the distinct ones).

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

The square root of 125638164 is about 11208.8431160401. The cubic root of 125638164 is about 500.8494414147.

The spelling of 125638164 in words is "one hundred twenty-five million, six hundred thirty-eight thousand, one hundred sixty-four".