125190400 has 108 divisors (see below), whose sum is σ = 320368384. Its totient is φ = 48384000.

The previous prime is 125190379. The next prime is 125190413. The reversal of 125190400 is 4091521.

It is a nialpdrome in base 16.

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, 198085 + ... + 198715.

Almost surely, 2^125190400 is an apocalyptic number.

125190400 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 125190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160184192).

125190400 is an abundant number, since it is smaller than the sum of its proper divisors (195177984).

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

125190400 is an equidigital number, since it uses as much as digits as its factorization.

125190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 125190400 is about 11188.8515943326. The cubic root of 125190400 is about 500.2537378791.

The spelling of 125190400 in words is "one hundred twenty-five million, one hundred ninety thousand, four hundred".