13533753156 has 144 divisors (see below), whose sum is σ = 40472695872. Its totient is φ = 3480288000.

The previous prime is 13533753139. The next prime is 13533753169. The reversal of 13533753156 is 65135733531.

13533753156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 642910 + ... + 663626.

It is an arithmetic number, because the mean of its divisors is an integer number (281060388).

Almost surely, 2^13533753156 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 13533753156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20236347936).

13533753156 is an abundant number, since it is smaller than the sum of its proper divisors (26938942716).

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

13533753156 is a wasteful number, since it uses less digits than its factorization.

13533753156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20850 (or 20841 counting only the distinct ones).

The product of its digits is 425250, while the sum is 42.

It can be divided in two parts, 1353375 and 3156, that added together give a palindrome (1356531).

The spelling of 13533753156 in words is "thirteen billion, five hundred thirty-three million, seven hundred fifty-three thousand, one hundred fifty-six".