125661640 has 96 divisors (see below), whose sum is σ = 317212200. Its totient is φ = 44728320.

The previous prime is 125661629. The next prime is 125661661. The reversal of 125661640 is 46166521.

It can be written as a sum of positive squares in 12 ways, for example, as 3912484 + 121749156 = 1978^2 + 11034^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195720 + ... + 196360.

Almost surely, 2^125661640 is an apocalyptic number.

125661640 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 125661640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158606100).

125661640 is an abundant number, since it is smaller than the sum of its proper divisors (191550560).

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

125661640 is a wasteful number, since it uses less digits than its factorization.

125661640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 125661640 is about 11209.8902760018. The cubic root of 125661640 is about 500.8806347210.

The spelling of 125661640 in words is "one hundred twenty-five million, six hundred sixty-one thousand, six hundred forty".