125332992 has 120 divisors (see below), whose sum is σ = 368648280. Its totient is φ = 40980480.

The previous prime is 125332981. The next prime is 125332997. The reversal of 125332992 is 299233521.

125332992 is a `hidden beast` number, since 12 + 533 + 29 + 92 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125332997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 271642 + ... + 272102.

It is an arithmetic number, because the mean of its divisors is an integer number (3072069).

Almost surely, 2^125332992 is an apocalyptic number.

125332992 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 125332992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184324140).

125332992 is an abundant number, since it is smaller than the sum of its proper divisors (243315288).

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

125332992 is an equidigital number, since it uses as much as digits as its factorization.

125332992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 525 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 125332992 is about 11195.2218379092. The cubic root of 125332992 is about 500.4435956627.

The spelling of 125332992 in words is "one hundred twenty-five million, three hundred thirty-two thousand, nine hundred ninety-two".