125561040 has 160 divisors (see below), whose sum is σ = 428544000. Its totient is φ = 30159360.

The previous prime is 125561021. The next prime is 125561057. The reversal of 125561040 is 40165521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 125561040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 525241 + ... + 525479.

It is an arithmetic number, because the mean of its divisors is an integer number (2678400).

Almost surely, 2^125561040 is an apocalyptic number.

125561040 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 125561040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214272000).

125561040 is an abundant number, since it is smaller than the sum of its proper divisors (302982960).

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

125561040 is a wasteful number, since it uses less digits than its factorization.

125561040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 125561040 is about 11205.4022685489. The cubic root of 125561040 is about 500.7469369481.

It can be divided in two parts, 125 and 561040, that added together give a palindrome (561165).

The spelling of 125561040 in words is "one hundred twenty-five million, five hundred sixty-one thousand, forty".