13157280 has 72 divisors (see below), whose sum is σ = 44904132. Its totient is φ = 3508224.

The previous prime is 13157267. The next prime is 13157293. The reversal of 13157280 is 8275131.

13157280 is a `hidden beast` number, since 13 + 1 + 572 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (13157267) and next prime (13157293).

It can be written as a sum of positive squares in 2 ways, for example, as 11048976 + 2108304 = 3324^2 + 1452^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×13157280² = 346228033996800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3129 + ... + 6008.

Almost surely, 2^13157280 is an apocalyptic number.

13157280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13157280 is an abundant number, since it is smaller than the sum of its proper divisors (31746852).

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

13157280 is a wasteful number, since it uses less digits than its factorization.

13157280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9158 (or 9147 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 13157280 is about 3627.2965139343. The cubic root of 13157280 is about 236.0779212197.

The spelling of 13157280 in words is "thirteen million, one hundred fifty-seven thousand, two hundred eighty".