13502162688 has 144 divisors (see below), whose sum is σ = 43485200640. Its totient is φ = 3630809088.

The previous prime is 13502162651. The next prime is 13502162699. The reversal of 13502162688 is 88626120531.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17523 + ... + 165261.

It is an arithmetic number, because the mean of its divisors is an integer number (301980560).

Almost surely, 2^13502162688 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 13502162688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21742600320).

13502162688 is an abundant number, since it is smaller than the sum of its proper divisors (29983037952).

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

13502162688 is a wasteful number, since it uses less digits than its factorization.

13502162688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147782 (or 147768 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 13502162688 in words is "thirteen billion, five hundred two million, one hundred sixty-two thousand, six hundred eighty-eight".