13129752 has 32 divisors (see below), whose sum is σ = 33050880. Its totient is φ = 4346400.

The previous prime is 13129751. The next prime is 13129769. The reversal of 13129752 is 25792131.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13129751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1813 + ... + 5435.

It is an arithmetic number, because the mean of its divisors is an integer number (1032840).

Almost surely, 2^13129752 is an apocalyptic number.

13129752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 3623×3624.

It is an amenable number.

13129752 is an abundant number, since it is smaller than the sum of its proper divisors (19921128).

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

13129752 is a wasteful number, since it uses less digits than its factorization.

13129752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3783 (or 3779 counting only the distinct ones).

The product of its digits is 3780, while the sum is 30.

The square root of 13129752 is about 3623.4999655030. The cubic root of 13129752 is about 235.9131634942.

The spelling of 13129752 in words is "thirteen million, one hundred twenty-nine thousand, seven hundred fifty-two".