125514088 has 96 divisors (see below), whose sum is σ = 289434600. Its totient is φ = 50803200.

The previous prime is 125514047. The next prime is 125514089. The reversal of 125514088 is 880415521.

It can be written as a sum of positive squares in 4 ways, for example, as 34082244 + 91431844 = 5838^2 + 9562^2 .

It is not an unprimeable number, because it can be changed into a prime (125514089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 693358 + ... + 693538.

Almost surely, 2^125514088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125514088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144717300).

125514088 is an abundant number, since it is smaller than the sum of its proper divisors (163920512).

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

125514088 is a wasteful number, since it uses less digits than its factorization.

125514088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 34.

The square root of 125514088 is about 11203.3070117711. The cubic root of 125514088 is about 500.6845131226.

The spelling of 125514088 in words is "one hundred twenty-five million, five hundred fourteen thousand, eighty-eight".