125330400 has 324 divisors, whose sum is σ = 483203448. Its totient is φ = 30551040.

The previous prime is 125330393. The next prime is 125330411. The reversal of 125330400 is 4033521.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1216749 + ... + 1216851.

Almost surely, 2^125330400 is an apocalyptic number.

125330400 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 125330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241601724).

125330400 is an abundant number, since it is smaller than the sum of its proper divisors (357873048).

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

125330400 is a wasteful number, since it uses less digits than its factorization.

125330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 125330400 is about 11195.1060736377. The cubic root of 125330400 is about 500.4401457631.

Adding to 125330400 its reverse (4033521), we get a palindrome (129363921).

The spelling of 125330400 in words is "one hundred twenty-five million, three hundred thirty thousand, four hundred".