13620613140 has 144 divisors (see below), whose sum is σ = 42184331280. Its totient is φ = 3556362240.

The previous prime is 13620613121. The next prime is 13620613177. The reversal of 13620613140 is 4131602631.

13620613140 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 0 + 613 + 1 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1698593796 + 11922019344 = 41214^2 + 109188^2 .

It is a super-2 number, since 2×13620613140² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2511712 + ... + 2517128.

It is an arithmetic number, because the mean of its divisors is an integer number (292946745).

Almost surely, 2^13620613140 is an apocalyptic number.

13620613140 is a gapful number since it is divisible by the number (10) 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 13620613140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21092165640).

13620613140 is an abundant number, since it is smaller than the sum of its proper divisors (28563718140).

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

13620613140 is a wasteful number, since it uses less digits than its factorization.

13620613140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5722 (or 5717 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 13620613140 in words is "thirteen billion, six hundred twenty million, six hundred thirteen thousand, one hundred forty".