125164200 has 192 divisors, whose sum is σ = 469791360. Its totient is φ = 26910720.

The previous prime is 125164189. The next prime is 125164231. The reversal of 125164200 is 2461521.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70524 + ... + 72276.

It is an arithmetic number, because the mean of its divisors is an integer number (2446830).

Almost surely, 2^125164200 is an apocalyptic number.

125164200 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 125164200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234895680).

125164200 is an abundant number, since it is smaller than the sum of its proper divisors (344627160).

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

125164200 is a wasteful number, since it uses less digits than its factorization.

125164200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 125164200 is about 11187.6807247973. The cubic root of 125164200 is about 500.2188375396.

The spelling of 125164200 in words is "one hundred twenty-five million, one hundred sixty-four thousand, two hundred".