125102720 has 64 divisors (see below), whose sum is σ = 305510400. Its totient is φ = 48964608.

The previous prime is 125102693. The next prime is 125102749. The reversal of 125102720 is 27201521.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 125102692 and 125102701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28001 + ... + 32159.

It is an arithmetic number, because the mean of its divisors is an integer number (4773600).

Almost surely, 2^125102720 is an apocalyptic number.

125102720 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 125102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152755200).

125102720 is an abundant number, since it is smaller than the sum of its proper divisors (180407680).

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

125102720 is an equidigital number, since it uses as much as digits as its factorization.

125102720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4225 (or 4213 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 125102720 is about 11184.9327221937. The cubic root of 125102720 is about 500.1369225010.

The spelling of 125102720 in words is "one hundred twenty-five million, one hundred two thousand, seven hundred twenty".