125973630 has 96 divisors (see below), whose sum is σ = 347203584. Its totient is φ = 32848416.

The previous prime is 125973623. The next prime is 125973649. The reversal of 125973630 is 36379521.

125973630 is a `hidden beast` number, since 1 + 2 + 597 + 3 + 63 + 0 = 666.

It is a super-3 number, since 3×125973630³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113659 + ... + 114761.

It is an arithmetic number, because the mean of its divisors is an integer number (3616704).

Almost surely, 2^125973630 is an apocalyptic number.

125973630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125973630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173601792).

125973630 is an abundant number, since it is smaller than the sum of its proper divisors (221229954).

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

125973630 is a wasteful number, since it uses less digits than its factorization.

125973630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 125973630 is about 11223.7974856997. The cubic root of 125973630 is about 501.2948173350.

The spelling of 125973630 in words is "one hundred twenty-five million, nine hundred seventy-three thousand, six hundred thirty".