125511760 has 80 divisors (see below), whose sum is σ = 320425920. Its totient is φ = 45342720.

The previous prime is 125511721. The next prime is 125511767. The reversal of 125511760 is 67115521.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125511767) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 169471 + ... + 170209.

It is an arithmetic number, because the mean of its divisors is an integer number (4005324).

Almost surely, 2^125511760 is an apocalyptic number.

125511760 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 125511760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160212960).

125511760 is an abundant number, since it is smaller than the sum of its proper divisors (194914160).

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

125511760 is a wasteful number, since it uses less digits than its factorization.

125511760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 28.

The square root of 125511760 is about 11203.2031133957. The cubic root of 125511760 is about 500.6814175849.

The spelling of 125511760 in words is "one hundred twenty-five million, five hundred eleven thousand, seven hundred sixty".