125331458760 has 512 divisors, whose sum is σ = 442091520000. Its totient is φ = 31932859392.

The previous prime is 125331458743. The next prime is 125331458761. The reversal of 125331458760 is 67854133521.

It is a happy number.

125331458760 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 3 + 1 + 4 + 587 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (125331458761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 322188646 + ... + 322189034.

It is an arithmetic number, because the mean of its divisors is an integer number (863460000).

Almost surely, 2^125331458760 is an apocalyptic number.

125331458760 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 125331458760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221045760000).

125331458760 is an abundant number, since it is smaller than the sum of its proper divisors (316760061240).

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

125331458760 is a wasteful number, since it uses less digits than its factorization.

125331458760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 125331458760 in words is "one hundred twenty-five billion, three hundred thirty-one million, four hundred fifty-eight thousand, seven hundred sixty".