125361600 has 504 divisors, whose sum is σ = 527809968. Its totient is φ = 25804800.

The previous prime is 125361557. The next prime is 125361631. The reversal of 125361600 is 6163521.

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 71 ways as a sum of consecutive naturals, for example, 3057580 + ... + 3057620.

It is an arithmetic number, because the mean of its divisors is an integer number (1047242).

Almost surely, 2^125361600 is an apocalyptic number.

125361600 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 125361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263904984).

125361600 is an abundant number, since it is smaller than the sum of its proper divisors (402448368).

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

125361600 is a wasteful number, since it uses less digits than its factorization.

125361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 125361600 is about 11196.4994529540. The cubic root of 125361600 is about 500.4816691739.

The spelling of 125361600 in words is "one hundred twenty-five million, three hundred sixty-one thousand, six hundred".