125899600 has 60 divisors (see below), whose sum is σ = 303579900. Its totient is φ = 50176000.

The previous prime is 125899597. The next prime is 125899619. The reversal of 125899600 is 6998521.

It can be written as a sum of positive squares in 6 ways, for example, as 1710864 + 124188736 = 1308^2 + 11144^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179250 + ... + 179950.

It is an arithmetic number, because the mean of its divisors is an integer number (5059665).

Almost surely, 2^125899600 is an apocalyptic number.

125899600 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 125899600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151789950).

125899600 is an abundant number, since it is smaller than the sum of its proper divisors (177680300).

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

125899600 is a wasteful number, since it uses less digits than its factorization.

125899600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 125899600 is about 11220.4990976338. The cubic root of 125899600 is about 501.1966006758.

The spelling of 125899600 in words is "one hundred twenty-five million, eight hundred ninety-nine thousand, six hundred".