125686400 has 192 divisors, whose sum is σ = 368309760. Its totient is φ = 41472000.

The previous prime is 125686399. The next prime is 125686411. The reversal of 125686400 is 4686521.

It is a super-2 number, since 2×125686400² = 31594142289920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 694310 + ... + 694490.

It is an arithmetic number, because the mean of its divisors is an integer number (1918280).

Almost surely, 2^125686400 is an apocalyptic number.

125686400 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 125686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184154880).

125686400 is an abundant number, since it is smaller than the sum of its proper divisors (242623360).

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

125686400 is a wasteful number, since it uses less digits than its factorization.

125686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 125686400 is about 11210.9946035131. The cubic root of 125686400 is about 500.9135299097.

The spelling of 125686400 in words is "one hundred twenty-five million, six hundred eighty-six thousand, four hundred".