125102400 has 168 divisors, whose sum is σ = 417636960. Its totient is φ = 32778240.

The previous prime is 125102389. The next prime is 125102429. The reversal of 125102400 is 4201521.

It is a super-2 number, since 2×125102400² = 31301220971520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 125102400.

It is a congruent number.

It is an unprimeable number.

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, 321406 + ... + 321794.

Almost surely, 2^125102400 is an apocalyptic number.

125102400 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 125102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208818480).

125102400 is an abundant number, since it is smaller than the sum of its proper divisors (292534560).

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

125102400 is a wasteful number, since it uses less digits than its factorization.

125102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 125102400 is about 11184.9184172259. The cubic root of 125102400 is about 500.1364960676.

Adding to 125102400 its reverse (4201521), we get a palindrome (129303921).

The spelling of 125102400 in words is "one hundred twenty-five million, one hundred two thousand, four hundred".