125515632 has 80 divisors (see below), whose sum is σ = 357834240. Its totient is φ = 37593600.

The previous prime is 125515631. The next prime is 125515639. The reversal of 125515632 is 236515521.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 125515632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125515631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45657 + ... + 48327.

It is an arithmetic number, because the mean of its divisors is an integer number (4472928).

Almost surely, 2^125515632 is an apocalyptic number.

125515632 is a gapful number since it is divisible by the number (12) 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 125515632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178917120).

125515632 is an abundant number, since it is smaller than the sum of its proper divisors (232318608).

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

125515632 is a wasteful number, since it uses less digits than its factorization.

125515632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782 (or 2776 counting only the distinct ones).

The product of its digits is 9000, while the sum is 30.

The square root of 125515632 is about 11203.3759197842. The cubic root of 125515632 is about 500.6865661557.

The spelling of 125515632 in words is "one hundred twenty-five million, five hundred fifteen thousand, six hundred thirty-two".