13507164 has 72 divisors (see below), whose sum is σ = 38892672. Its totient is φ = 3912480.

The previous prime is 13507139. The next prime is 13507201. The reversal of 13507164 is 46170531.

13507164 = T₁₉₂ + T₁₉₃ + ... + T₄₄₄.

13507164 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 8367 + ... + 9849.

It is an arithmetic number, because the mean of its divisors is an integer number (540176).

Almost surely, 2^13507164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13507164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19446336).

13507164 is an abundant number, since it is smaller than the sum of its proper divisors (25385508).

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

13507164 is a wasteful number, since it uses less digits than its factorization.

13507164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1522 counting only the distinct ones).

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

The square root of 13507164 is about 3675.2093817904. The cubic root of 13507164 is about 238.1522693883.

Adding to 13507164 its reverse (46170531), we get a palindrome (59677695).

The spelling of 13507164 in words is "thirteen million, five hundred seven thousand, one hundred sixty-four".