125261151680 has 224 divisors, whose sum is σ = 361965459456. Its totient is φ = 40305770496.

The previous prime is 125261151679. The next prime is 125261151709. The reversal of 125261151680 is 86151162521.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×125261151680² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13970879 + ... + 13979841.

Almost surely, 2^125261151680 is an apocalyptic number.

125261151680 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 125261151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180982729728).

125261151680 is an abundant number, since it is smaller than the sum of its proper divisors (236704307776).

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

125261151680 is a wasteful number, since it uses less digits than its factorization.

125261151680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9371 (or 9361 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 38.

The spelling of 125261151680 in words is "one hundred twenty-five billion, two hundred sixty-one million, one hundred fifty-one thousand, six hundred eighty".