125758080 has 192 divisors, whose sum is σ = 496454400. Its totient is φ = 28735488.

The previous prime is 125758057. The next prime is 125758081. The reversal of 125758080 is 80857521.

125758080 is a `hidden beast` number, since 1 + 2 + 575 + 8 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (125758081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38761 + ... + 41879.

It is an arithmetic number, because the mean of its divisors is an integer number (2585700).

Almost surely, 2^125758080 is an apocalyptic number.

125758080 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 125758080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248227200).

125758080 is an abundant number, since it is smaller than the sum of its proper divisors (370696320).

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

125758080 is a wasteful number, since it uses less digits than its factorization.

125758080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 125758080 is about 11214.1910096092. The cubic root of 125758080 is about 501.0087368646.

The spelling of 125758080 in words is "one hundred twenty-five million, seven hundred fifty-eight thousand, eighty".