125240560 has 80 divisors (see below), whose sum is σ = 309578400. Its totient is φ = 47029248.

The previous prime is 125240509. The next prime is 125240567. The reversal of 125240560 is 65042521.

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

It is a super-2 number, since 2×125240560² = 31370395738227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125240567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85111 + ... + 86569.

It is an arithmetic number, because the mean of its divisors is an integer number (3869730).

Almost surely, 2^125240560 is an apocalyptic number.

125240560 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 125240560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154789200).

125240560 is an abundant number, since it is smaller than the sum of its proper divisors (184337840).

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

125240560 is a wasteful number, since it uses less digits than its factorization.

125240560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 125240560 is about 11191.0928867560. The cubic root of 125240560 is about 500.3205411295.

The spelling of 125240560 in words is "one hundred twenty-five million, two hundred forty thousand, five hundred sixty".