13157892 has 72 divisors (see below), whose sum is σ = 36691200. Its totient is φ = 3942720.

The previous prime is 13157887. The next prime is 13157923. The reversal of 13157892 is 29875131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58893 + ... + 59115.

It is an arithmetic number, because the mean of its divisors is an integer number (509600).

Almost surely, 2^13157892 is an apocalyptic number.

13157892 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 13157892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18345600).

13157892 is an abundant number, since it is smaller than the sum of its proper divisors (23533308).

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

13157892 is a wasteful number, since it uses less digits than its factorization.

13157892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 388 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 13157892 is about 3627.3808733024. The cubic root of 13157892 is about 236.0815814860.

The spelling of 13157892 in words is "thirteen million, one hundred fifty-seven thousand, eight hundred ninety-two".