125009760 has 96 divisors (see below), whose sum is σ = 396863712. Its totient is φ = 33075200.

The previous prime is 125009747. The next prime is 125009827. The reversal of 125009760 is 67900521.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64810 + ... + 66710.

It is an arithmetic number, because the mean of its divisors is an integer number (4133997).

Almost surely, 2^125009760 is an apocalyptic number.

125009760 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 125009760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198431856).

125009760 is an abundant number, since it is smaller than the sum of its proper divisors (271853952).

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

125009760 is a wasteful number, since it uses less digits than its factorization.

125009760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 125009760 is about 11180.7763594484. The cubic root of 125009760 is about 500.0130129947.

The spelling of 125009760 in words is "one hundred twenty-five million, nine thousand, seven hundred sixty".