13445215272 has 112 divisors (see below), whose sum is σ = 40021047540. Its totient is φ = 4218075648.

The previous prime is 13445215253. The next prime is 13445215279. The reversal of 13445215272 is 27251254431.

13445215272 is a `hidden beast` number, since 13 + 4 + 4 + 521 + 52 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11675666916 + 1769548356 = 108054^2 + 42066^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13445215279) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 31338 + ... + 166950.

Almost surely, 2^13445215272 is an apocalyptic number.

13445215272 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 13445215272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20010523770).

13445215272 is an abundant number, since it is smaller than the sum of its proper divisors (26575832268).

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

13445215272 is a wasteful number, since it uses less digits than its factorization.

13445215272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135654 (or 135635 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The spelling of 13445215272 in words is "thirteen billion, four hundred forty-five million, two hundred fifteen thousand, two hundred seventy-two".