125697600 has 504 divisors, whose sum is σ = 540471360. Its totient is φ = 27095040.

The previous prime is 125697589. The next prime is 125697641. The reversal of 125697600 is 6796521.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2923179 + ... + 2923221.

Almost surely, 2^125697600 is an apocalyptic number.

125697600 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 125697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270235680).

125697600 is an abundant number, since it is smaller than the sum of its proper divisors (414773760).

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

125697600 is a wasteful number, since it uses less digits than its factorization.

125697600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 125697600 is about 11211.4941020365. The cubic root of 125697600 is about 500.9284083821.

The spelling of 125697600 in words is "one hundred twenty-five million, six hundred ninety-seven thousand, six hundred".