125991936 has 330 divisors, whose sum is σ = 451781088. Its totient is φ = 34836480.

The previous prime is 125991923. The next prime is 125991961. The reversal of 125991936 is 639199521.

It is a happy number.

125991936 is a `hidden beast` number, since 12 + 599 + 19 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 125991891 and 125991900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4064241 + ... + 4064271.

Almost surely, 2^125991936 is an apocalyptic number.

125991936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125991936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225890544).

125991936 is an abundant number, since it is smaller than the sum of its proper divisors (325789152).

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

125991936 is an equidigital number, since it uses as much as digits as its factorization.

125991936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 43 counting only the distinct ones).

The product of its digits is 131220, while the sum is 45.

The square root of 125991936 is about 11224.6129554653. The cubic root of 125991936 is about 501.3190982327.

It can be divided in two parts, 12599 and 1936, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 125991936 in words is "one hundred twenty-five million, nine hundred ninety-one thousand, nine hundred thirty-six".