125816320 has 240 divisors, whose sum is σ = 377855280. Its totient is φ = 39911424.

The previous prime is 125816311. The next prime is 125816333. The reversal of 125816320 is 23618521.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2132451 + ... + 2132509.

It is an arithmetic number, because the mean of its divisors is an integer number (1574397).

Almost surely, 2^125816320 is an apocalyptic number.

125816320 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 125816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188927640).

125816320 is an abundant number, since it is smaller than the sum of its proper divisors (252038960).

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

125816320 is an equidigital number, since it uses as much as digits as its factorization.

125816320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 125816320 is about 11216.7874188646. The cubic root of 125816320 is about 501.0860658804.

It can be divided in two parts, 1258 and 16320, that added together give a triangular number (17578 = T₁₈₇).

The spelling of 125816320 in words is "one hundred twenty-five million, eight hundred sixteen thousand, three hundred twenty".