13645290240 has 144 divisors (see below), whose sum is σ = 48421951200. Its totient is φ = 3638734848.

The previous prime is 13645290223. The next prime is 13645290259. The reversal of 13645290240 is 4209254631.

It is a happy number.

13645290240 is a `hidden beast` number, since 1 + 3 + 645 + 2 + 9 + 0 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 13645290195 and 13645290204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162855 + ... + 231974.

It is an arithmetic number, because the mean of its divisors is an integer number (336263550).

Almost surely, 2^13645290240 is an apocalyptic number.

13645290240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13645290240 is an abundant number, since it is smaller than the sum of its proper divisors (34776660960).

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

13645290240 is an equidigital number, since it uses as much as digits as its factorization.

13645290240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394859 (or 394839 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 13645290240 in words is "thirteen billion, six hundred forty-five million, two hundred ninety thousand, two hundred forty".