125982080 has 128 divisors (see below), whose sum is σ = 350602560. Its totient is φ = 42393600.

The previous prime is 125982041. The next prime is 125982083. The reversal of 125982080 is 80289521.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×125982080² = 31742968962252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 125982080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125982083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273050 + ... + 273510.

Almost surely, 2^125982080 is an apocalyptic number.

125982080 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 125982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175301280).

125982080 is an abundant number, since it is smaller than the sum of its proper divisors (224620480).

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

125982080 is an equidigital number, since it uses as much as digits as its factorization.

125982080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 125982080 is about 11224.1739116961. The cubic root of 125982080 is about 501.3060256239.

The spelling of 125982080 in words is "one hundred twenty-five million, nine hundred eighty-two thousand, eighty".