13662672153 has 8 divisors (see below), whose sum is σ = 19618195968. Its totient is φ = 8407798224.

The previous prime is 13662672131. The next prime is 13662672157. The reversal of 13662672153 is 35127626631.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13662672153 - 2²⁴ = 13645894937 is a prime.

It is a super-2 number, since 2×13662672153² (a number of 21 digits) contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13662672157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175162425 + ... + 175162502.

It is an arithmetic number, because the mean of its divisors is an integer number (2452274496).

Almost surely, 2^13662672153 is an apocalyptic number.

13662672153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13662672153 is a deficient number, since it is larger than the sum of its proper divisors (5955523815).

13662672153 is a wasteful number, since it uses less digits than its factorization.

13662672153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350324943.

The product of its digits is 272160, while the sum is 42.

The spelling of 13662672153 in words is "thirteen billion, six hundred sixty-two million, six hundred seventy-two thousand, one hundred fifty-three".