13140972 has 72 divisors (see below), whose sum is σ = 36660624. Its totient is φ = 3943296.

The previous prime is 13140947. The next prime is 13140977. The reversal of 13140972 is 27904131.

It is not an unprimeable number, because it can be changed into a prime (13140977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19798 + ... + 20450.

Almost surely, 2^13140972 is an apocalyptic number.

13140972 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 13140972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18330312).

13140972 is an abundant number, since it is smaller than the sum of its proper divisors (23519652).

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

13140972 is a wasteful number, since it uses less digits than its factorization.

13140972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 13140972 is about 3625.0478617530. The cubic root of 13140972 is about 235.9803440490.

The spelling of 13140972 in words is "thirteen million, one hundred forty thousand, nine hundred seventy-two".