125038080 has 280 divisors, whose sum is σ = 456200712. Its totient is φ = 32845824.

The previous prime is 125038073. The next prime is 125038087. The reversal of 125038080 is 80830521.

It is a happy number.

125038080 is a `hidden beast` number, since 1 + 2 + 503 + 80 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (125038073) and next prime (125038087).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125038087) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1866207 + ... + 1866273.

Almost surely, 2^125038080 is an apocalyptic number.

125038080 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 125038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228100356).

125038080 is an abundant number, since it is smaller than the sum of its proper divisors (331162632).

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

125038080 is an frugal number, since it uses more digits than its factorization.

125038080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 125038080 is about 11182.0427471907. The cubic root of 125038080 is about 500.0507681783.

The spelling of 125038080 in words is "one hundred twenty-five million, thirty-eight thousand, eighty".