125013600 has 216 divisors, whose sum is σ = 447861960. Its totient is φ = 32808960.

The previous prime is 125013571. The next prime is 125013601. The reversal of 125013600 is 6310521.

125013600 is a `hidden beast` number, since 1 + 2 + 50 + 13 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125013601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 698311 + ... + 698489.

It is an arithmetic number, because the mean of its divisors is an integer number (2073435).

Almost surely, 2^125013600 is an apocalyptic number.

125013600 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 125013600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223930980).

125013600 is an abundant number, since it is smaller than the sum of its proper divisors (322848360).

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

125013600 is a wasteful number, since it uses less digits than its factorization.

125013600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 125013600 is about 11180.9480814464. The cubic root of 125013600 is about 500.0181326757.

The spelling of 125013600 in words is "one hundred twenty-five million, thirteen thousand, six hundred".