125835372 has 144 divisors (see below), whose sum is σ = 362121760. Its totient is φ = 36796032.

The previous prime is 125835371. The next prime is 125835373. The reversal of 125835372 is 273538521.

It is a happy number.

125835372 is a `hidden beast` number, since 1 + 2 + 583 + 5 + 3 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (125835371) and next prime (125835373).

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 (125835371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2926383 + ... + 2926425.

Almost surely, 2^125835372 is an apocalyptic number.

125835372 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 125835372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181060880).

125835372 is an abundant number, since it is smaller than the sum of its proper divisors (236286388).

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

125835372 is a wasteful number, since it uses less digits than its factorization.

125835372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 98 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 125835372 is about 11217.6366494908. The cubic root of 125835372 is about 501.1113572732. Note that the first 3 decimals are identical.

It can be divided in two parts, 12583 and 5372, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 125835372 in words is "one hundred twenty-five million, eight hundred thirty-five thousand, three hundred seventy-two".