125086080 has 256 divisors, whose sum is σ = 468840960. Its totient is φ = 27770880.

The previous prime is 125086079. The next prime is 125086109. The reversal of 125086080 is 80680521.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 550927 + ... + 551153.

It is an arithmetic number, because the mean of its divisors is an integer number (1831410).

Almost surely, 2^125086080 is an apocalyptic number.

125086080 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 125086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234420480).

125086080 is an abundant number, since it is smaller than the sum of its proper divisors (343754880).

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

125086080 is a wasteful number, since it uses less digits than its factorization.

125086080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 125086080 is about 11184.1888396075. The cubic root of 125086080 is about 500.1147469976.

The spelling of 125086080 in words is "one hundred twenty-five million, eighty-six thousand, eighty".