125626368 has 192 divisors, whose sum is σ = 402554880. Its totient is φ = 34062336.

The previous prime is 125626363. The next prime is 125626373. The reversal of 125626368 is 863626521.

It is an interprime number because it is at equal distance from previous prime (125626363) and next prime (125626373).

It is a tau number, because it is divible by the number of its divisors (192).

Its product of digits (103680) is a multiple of the sum of its prime divisors (162).

It is not an unprimeable number, because it can be changed into a prime (125626363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 989121 + ... + 989247.

It is an arithmetic number, because the mean of its divisors is an integer number (2096640).

Almost surely, 2^125626368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125626368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201277440).

125626368 is an abundant number, since it is smaller than the sum of its proper divisors (276928512).

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

125626368 is a wasteful number, since it uses less digits than its factorization.

125626368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 162 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 125626368 is about 11208.3169120078. The cubic root of 125626368 is about 500.8337662283.

The spelling of 125626368 in words is "one hundred twenty-five million, six hundred twenty-six thousand, three hundred sixty-eight".