13267152 has 100 divisors (see below), whose sum is σ = 39835620. Its totient is φ = 4257792.

The previous prime is 13267151. The next prime is 13267171. The reversal of 13267152 is 25176231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6170256 + 7096896 = 2484^2 + 2664^2 .

It is a super-2 number, since 2×13267152² = 352034644382208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13267151) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37408 + ... + 37760.

Almost surely, 2^13267152 is an apocalyptic number.

13267152 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 13267152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19917810).

13267152 is an abundant number, since it is smaller than the sum of its proper divisors (26568468).

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

13267152 is a wasteful number, since it uses less digits than its factorization.

13267152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 387 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 13267152 is about 3642.4101910685. The cubic root of 13267152 is about 236.7332361393.

The spelling of 13267152 in words is "thirteen million, two hundred sixty-seven thousand, one hundred fifty-two".