125568240 has 160 divisors (see below), whose sum is σ = 455970816. Its totient is φ = 27985920.

The previous prime is 125568217. The next prime is 125568241. The reversal of 125568240 is 42865521.

125568240 = 1730² + 1731² + ... + 1770².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125568241) 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 31 ways as a sum of consecutive naturals, for example, 67969 + ... + 69791.

Almost surely, 2^125568240 is an apocalyptic number.

125568240 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 125568240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227985408).

125568240 is an abundant number, since it is smaller than the sum of its proper divisors (330402576).

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

125568240 is a wasteful number, since it uses less digits than its factorization.

125568240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 125568240 is about 11205.7235375499. The cubic root of 125568240 is about 500.7565081469.

The spelling of 125568240 in words is "one hundred twenty-five million, five hundred sixty-eight thousand, two hundred forty".