125632080 has 240 divisors, whose sum is σ = 503807040. Its totient is φ = 28691712.

The previous prime is 125632079. The next prime is 125632099. The reversal of 125632080 is 80236521.

125632080 is a `hidden beast` number, since 1 + 2 + 563 + 20 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 105247 + ... + 106433.

It is an arithmetic number, because the mean of its divisors is an integer number (2099196).

Almost surely, 2^125632080 is an apocalyptic number.

125632080 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 125632080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251903520).

125632080 is an abundant number, since it is smaller than the sum of its proper divisors (378174960).

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

125632080 is a wasteful number, since it uses less digits than its factorization.

125632080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 125632080 is about 11208.5717198937. The cubic root of 125632080 is about 500.8413567768.

The spelling of 125632080 in words is "one hundred twenty-five million, six hundred thirty-two thousand, eighty".