125489192400 has 1080 divisors, whose sum is σ = 545180927616. Its totient is φ = 26405683200.

The previous prime is 125489192393. The next prime is 125489192401. The reversal of 125489192400 is 4291984521.

It is a happy number.

125489192400 is a `hidden beast` number, since 1 + 2 + 54 + 8 + 9 + 192 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125489192401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 113770249 + ... + 113771351.

Almost surely, 2^125489192400 is an apocalyptic number.

125489192400 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 125489192400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272590463808).

125489192400 is an abundant number, since it is smaller than the sum of its proper divisors (419691735216).

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

125489192400 is a wasteful number, since it uses less digits than its factorization.

125489192400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 125489192400 in words is "one hundred twenty-five billion, four hundred eighty-nine million, one hundred ninety-two thousand, four hundred".