125331148800 has 1248 divisors, whose sum is σ = 542619020160. Its totient is φ = 27957657600.

The previous prime is 125331148793. The next prime is 125331148819. The reversal of 125331148800 is 8841133521.

125331148800 is a `hidden beast` number, since 1 + 2 + 533 + 1 + 1 + 48 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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

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 95 ways as a sum of consecutive naturals, for example, 395366242 + ... + 395366558.

Almost surely, 2^125331148800 is an apocalyptic number.

125331148800 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 125331148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271309510080).

125331148800 is an abundant number, since it is smaller than the sum of its proper divisors (417287871360).

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

125331148800 is a wasteful number, since it uses less digits than its factorization.

125331148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 125331148800 in words is "one hundred twenty-five billion, three hundred thirty-one million, one hundred forty-eight thousand, eight hundred".