125437760 has 112 divisors (see below), whose sum is σ = 353324160. Its totient is φ = 41502720.

The previous prime is 125437729. The next prime is 125437771. The reversal of 125437760 is 67734521.

It is a tau number, because it is divible by the number of its divisors (112).

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 125437760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63995 + ... + 65925.

It is an arithmetic number, because the mean of its divisors is an integer number (3154680).

Almost surely, 2^125437760 is an apocalyptic number.

125437760 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 125437760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176662080).

125437760 is an abundant number, since it is smaller than the sum of its proper divisors (227886400).

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

125437760 is a wasteful number, since it uses less digits than its factorization.

125437760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 125437760 is about 11199.8999995536. The cubic root of 125437760 is about 500.5829999579.

The spelling of 125437760 in words is "one hundred twenty-five million, four hundred thirty-seven thousand, seven hundred sixty".