125506560 has 88 divisors (see below), whose sum is σ = 401474016. Its totient is φ = 33464320.

The previous prime is 125506559. The next prime is 125506573. The reversal of 125506560 is 65605521.

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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11275 + ... + 19445.

Almost surely, 2^125506560 is an apocalyptic number.

125506560 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 125506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200737008).

125506560 is an abundant number, since it is smaller than the sum of its proper divisors (275967456).

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

125506560 is an equidigital number, since it uses as much as digits as its factorization.

125506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8199 (or 8181 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 125506560 is about 11202.9710345069. The cubic root of 125506560 is about 500.6745030155.

It can be divided in two parts, 12550 and 6560, that added together give a triangular number (19110 = T₁₉₅).

The spelling of 125506560 in words is "one hundred twenty-five million, five hundred six thousand, five hundred sixty".