13073136 has 80 divisors (see below), whose sum is σ = 36810144. Its totient is φ = 3981312.

The previous prime is 13073129. The next prime is 13073141. The reversal of 13073136 is 63137031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29976 + ... + 30408.

Almost surely, 2^13073136 is an apocalyptic number.

13073136 is a gapful number since it is divisible by the number (16) 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 13073136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18405072).

13073136 is an abundant number, since it is smaller than the sum of its proper divisors (23737008).

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

13073136 is a wasteful number, since it uses less digits than its factorization.

13073136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 13073136 is about 3615.6791893087. The cubic root of 13073136 is about 235.5735860307.

The spelling of 13073136 in words is "thirteen million, seventy-three thousand, one hundred thirty-six".