125416320 has 128 divisors (see below), whose sum is σ = 405095040. Its totient is φ = 32999424.

The previous prime is 125416303. The next prime is 125416331. The reversal of 125416320 is 23614521.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158967 + ... + 159753.

It is an arithmetic number, because the mean of its divisors is an integer number (3164805).

Almost surely, 2^125416320 is an apocalyptic number.

125416320 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 125416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202547520).

125416320 is an abundant number, since it is smaller than the sum of its proper divisors (279678720).

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

125416320 is an equidigital number, since it uses as much as digits as its factorization.

125416320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 125416320 is about 11198.9428072475. The cubic root of 125416320 is about 500.5544782139.

The spelling of 125416320 in words is "one hundred twenty-five million, four hundred sixteen thousand, three hundred twenty".