125382720 has 112 divisors (see below), whose sum is σ = 401531328. Its totient is φ = 33146880.

The previous prime is 125382709. The next prime is 125382721. The reversal of 125382720 is 27283521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (125382721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125262 + ... + 126258.

Almost surely, 2^125382720 is an apocalyptic number.

125382720 is a gapful number since it is divisible by the number (10) 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 125382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200765664).

125382720 is an abundant number, since it is smaller than the sum of its proper divisors (276148608).

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

125382720 is a wasteful number, since it uses less digits than its factorization.

125382720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 125382720 is about 11197.4425651575. The cubic root of 125382720 is about 500.5097734188.

The spelling of 125382720 in words is "one hundred twenty-five million, three hundred eighty-two thousand, seven hundred twenty".