125321760 has 144 divisors (see below), whose sum is σ = 442554840. Its totient is φ = 32256000.

The previous prime is 125321759. The next prime is 125321767. The reversal of 125321760 is 67123521.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 103306896 + 22014864 = 10164^2 + 4692^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (125321767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40260 + ... + 43260.

Almost surely, 2^125321760 is an apocalyptic number.

125321760 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 125321760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221277420).

125321760 is an abundant number, since it is smaller than the sum of its proper divisors (317233080).

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

125321760 is a wasteful number, since it uses less digits than its factorization.

125321760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3051 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 125321760 is about 11194.7201840868. The cubic root of 125321760 is about 500.4286457540.

The spelling of 125321760 in words is "one hundred twenty-five million, three hundred twenty-one thousand, seven hundred sixty".