13720157640 has 192 divisors, whose sum is σ = 53642908800. Its totient is φ = 2970971136.

The previous prime is 13720157629. The next prime is 13720157651. The reversal of 13720157640 is 4675102731.

It is a happy number.

13720157640 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 0 + 1 + 5 + 7 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (13720157629) and next prime (13720157651).

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 = 13720157595 and 13720157604.

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, 95397 + ... + 191156.

It is an arithmetic number, because the mean of its divisors is an integer number (279390150).

Almost surely, 2^13720157640 is an apocalyptic number.

13720157640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13720157640 is an abundant number, since it is smaller than the sum of its proper divisors (39922751160).

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

13720157640 is a wasteful number, since it uses less digits than its factorization.

13720157640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286596 (or 286589 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 13720157640 in words is "thirteen billion, seven hundred twenty million, one hundred fifty-seven thousand, six hundred forty".