125351815680 has 1800 divisors, whose sum is σ = 573284130012. Its totient is φ = 26085556224.

The previous prime is 125351815679. The next prime is 125351815703. The reversal of 125351815680 is 86518153521.

125351815680 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 5 + 1 + 81 + 568 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 15372032256 + 109979783424 = 123984^2 + 331632^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1717148124 + ... + 1717148196.

Almost surely, 2^125351815680 is an apocalyptic number.

125351815680 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 125351815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286642065006).

125351815680 is an abundant number, since it is smaller than the sum of its proper divisors (447932314332).

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

125351815680 is an equidigital number, since it uses as much as digits as its factorization.

125351815680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 125351815680 in words is "one hundred twenty-five billion, three hundred fifty-one million, eight hundred fifteen thousand, six hundred eighty".