125477074080 has 288 divisors, whose sum is σ = 463359222144. Its totient is φ = 32005518336.

The previous prime is 125477074031. The next prime is 125477074141. The reversal of 125477074080 is 80470774521.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×125477074080² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 824082 + ... + 964398.

It is an arithmetic number, because the mean of its divisors is an integer number (1608886188).

Almost surely, 2^125477074080 is an apocalyptic number.

125477074080 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 125477074080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231679611072).

125477074080 is an abundant number, since it is smaller than the sum of its proper divisors (337882148064).

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

125477074080 is a wasteful number, since it uses less digits than its factorization.

125477074080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140370 (or 140350 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 125477074080 in words is "one hundred twenty-five billion, four hundred seventy-seven million, seventy-four thousand, eighty".