125942400 has 144 divisors (see below), whose sum is σ = 449494110. Its totient is φ = 33576960.

The previous prime is 125942347. The next prime is 125942407. The reversal of 125942400 is 4249521.

125942400 is a `hidden beast` number, since 1 + 259 + 4 + 2 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 97298496 + 28643904 = 9864^2 + 5352^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×125942400² = 31722976235520000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (125942407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26614 + ... + 30986.

Almost surely, 2^125942400 is an apocalyptic number.

125942400 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 125942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224747055).

125942400 is an abundant number, since it is smaller than the sum of its proper divisors (323551710).

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

125942400 is a wasteful number, since it uses less digits than its factorization.

125942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4403 (or 4383 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 125942400 is about 11222.4061591087. The cubic root of 125942400 is about 501.2533887413.

The spelling of 125942400 in words is "one hundred twenty-five million, nine hundred forty-two thousand, four hundred".