125393832 has 72 divisors (see below), whose sum is σ = 352799850. Its totient is φ = 41780448.

The previous prime is 125393803. The next prime is 125393839. The reversal of 125393832 is 238393521.

It can be written as a sum of positive squares in only one way, i.e., 117809316 + 7584516 = 10854^2 + 2754^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×125393832² = 31447226207288448, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (125393839) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51294 + ... + 53682.

Almost surely, 2^125393832 is an apocalyptic number.

125393832 is a gapful number since it is divisible by the number (12) 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 125393832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176399925).

125393832 is an abundant number, since it is smaller than the sum of its proper divisors (227406018).

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

125393832 is an frugal number, since it uses more digits than its factorization.

125393832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2419 (or 2394 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 125393832 is about 11197.9387388930. The cubic root of 125393832 is about 500.5245588170.

The spelling of 125393832 in words is "one hundred twenty-five million, three hundred ninety-three thousand, eight hundred thirty-two".