125153688 has 96 divisors (see below), whose sum is σ = 349332480. Its totient is φ = 37329600.

The previous prime is 125153681. The next prime is 125153729. The reversal of 125153688 is 886351521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125153681) 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, 205881 + ... + 206487.

It is an arithmetic number, because the mean of its divisors is an integer number (3638880).

Almost surely, 2^125153688 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 125153688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174666240).

125153688 is an abundant number, since it is smaller than the sum of its proper divisors (224178792).

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

125153688 is a wasteful number, since it uses less digits than its factorization.

125153688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 694 counting only the distinct ones).

The product of its digits is 57600, while the sum is 39.

The square root of 125153688 is about 11187.2109124661. The cubic root of 125153688 is about 500.2048334084.

The spelling of 125153688 in words is "one hundred twenty-five million, one hundred fifty-three thousand, six hundred eighty-eight".