13133952 has 96 divisors (see below), whose sum is σ = 40747980. Its totient is φ = 4036608.

The previous prime is 13133947. The next prime is 13133969. The reversal of 13133952 is 25933131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13133376 + 576 = 3624^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14538 + ... + 15414.

Almost surely, 2^13133952 is an apocalyptic number.

13133952 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 13133952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20373990).

13133952 is an abundant number, since it is smaller than the sum of its proper divisors (27614028).

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

13133952 is a wasteful number, since it uses less digits than its factorization.

13133952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 895 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 13133952 is about 3624.0794693273. The cubic root of 13133952 is about 235.9383157757.

The spelling of 13133952 in words is "thirteen million, one hundred thirty-three thousand, nine hundred fifty-two".