13357952 has 32 divisors (see below), whose sum is σ = 26968800. Its totient is φ = 6589440.

The previous prime is 13357889. The next prime is 13357973. The reversal of 13357952 is 25975331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9452 + ... + 10772.

It is an arithmetic number, because the mean of its divisors is an integer number (842775).

Almost surely, 2^13357952 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 13357952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13484400).

13357952 is an abundant number, since it is smaller than the sum of its proper divisors (13610848).

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

13357952 is an equidigital number, since it uses as much as digits as its factorization.

13357952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1402 counting only the distinct ones).

The product of its digits is 28350, while the sum is 35.

The square root of 13357952 is about 3654.8532118267. The cubic root of 13357952 is about 237.2720738525.

It can be divided in two parts, 133 and 57952, that added together give a palindrome (58085).

The spelling of 13357952 in words is "thirteen million, three hundred fifty-seven thousand, nine hundred fifty-two".