125264400 has 120 divisors (see below), whose sum is σ = 409985664. Its totient is φ = 32678400.

The previous prime is 125264393. The next prime is 125264407. The reversal of 125264400 is 4462521.

It is an interprime number because it is at equal distance from previous prime (125264393) and next prime (125264407).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125264407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55290 + ... + 57510.

Almost surely, 2^125264400 is an apocalyptic number.

125264400 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 125264400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204992832).

125264400 is an abundant number, since it is smaller than the sum of its proper divisors (284721264).

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

125264400 is a wasteful number, since it uses less digits than its factorization.

125264400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 125264400 is about 11192.1579688637. The cubic root of 125264400 is about 500.3522850655.

The spelling of 125264400 in words is "one hundred twenty-five million, two hundred sixty-four thousand, four hundred".