125421436800 has 1728 divisors, whose sum is σ = 538837178880. Its totient is φ = 28740096000.

The previous prime is 125421436783. The next prime is 125421436801. The reversal of 125421436800 is 8634124521.

It is a happy number.

125421436800 is a `hidden beast` number, since 1 + 2 + 542 + 1 + 4 + 36 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125421436801) 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, 2916777579 + ... + 2916777621.

Almost surely, 2^125421436800 is an apocalyptic number.

125421436800 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 125421436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269418589440).

125421436800 is an abundant number, since it is smaller than the sum of its proper divisors (413415742080).

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

125421436800 is a wasteful number, since it uses less digits than its factorization.

125421436800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 125421436800 in words is "one hundred twenty-five billion, four hundred twenty-one million, four hundred thirty-six thousand, eight hundred".