125109152 has 72 divisors (see below), whose sum is σ = 290712996. Its totient is φ = 52835328.

The previous prime is 125109151. The next prime is 125109157. The reversal of 125109152 is 251901521.

It can be written as a sum of positive squares in 2 ways, for example, as 109077136 + 16032016 = 10444^2 + 4004^2 .

It is not an unprimeable number, because it can be changed into a prime (125109151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113918 + ... + 115010.

Almost surely, 2^125109152 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 125109152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145356498).

125109152 is an abundant number, since it is smaller than the sum of its proper divisors (165603844).

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

125109152 is a wasteful number, since it uses less digits than its factorization.

125109152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

The square root of 125109152 is about 11185.2202481668. The cubic root of 125109152 is about 500.1454936591.

The spelling of 125109152 in words is "one hundred twenty-five million, one hundred nine thousand, one hundred fifty-two".