13157640 has 160 divisors (see below), whose sum is σ = 45999360. Its totient is φ = 3369600.

The previous prime is 13157611. The next prime is 13157647. The reversal of 13157640 is 4675131.

13157640 is a `hidden beast` number, since 1 + 3 + 15 + 7 + 640 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13157647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100375 + ... + 100505.

It is an arithmetic number, because the mean of its divisors is an integer number (287496).

Almost surely, 2^13157640 is an apocalyptic number.

13157640 is a gapful number since it is divisible by the number (10) 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 13157640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22999680).

13157640 is an abundant number, since it is smaller than the sum of its proper divisors (32841720).

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

13157640 is a wasteful number, since it uses less digits than its factorization.

13157640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 172 counting only the distinct ones).

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

The square root of 13157640 is about 3627.3461373296. The cubic root of 13157640 is about 236.0800743313.

The spelling of 13157640 in words is "thirteen million, one hundred fifty-seven thousand, six hundred forty".