13157235 has 144 divisors (see below), whose sum is σ = 31370976. Its totient is φ = 5225472.

The previous prime is 13157231. The next prime is 13157239. The reversal of 13157235 is 53275131.

13157235 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13157231) and next prime (13157239).

It is not a de Polignac number, because 13157235 - 2² = 13157231 is a prime.

It is a super-2 number, since 2×13157235² = 346225665690450, 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).

Its product of digits (3150) is a multiple of the sum of its prime divisors (45).

It is a junction number, because it is equal to n+sod(n) for n = 13157199 and 13157208.

It is not an unprimeable number, because it can be changed into a prime (13157231) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 773947 + ... + 773963.

It is an arithmetic number, because the mean of its divisors is an integer number (217854).

Almost surely, 2^13157235 is an apocalyptic number.

13157235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13157235 is an abundant number, since it is smaller than the sum of its proper divisors (18213741).

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

13157235 is a wasteful number, since it uses less digits than its factorization.

13157235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 45 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 13157235 is about 3627.2903109622. The cubic root of 13157235 is about 236.0776520780.

The spelling of 13157235 in words is "thirteen million, one hundred fifty-seven thousand, two hundred thirty-five".