13820137632 has 72 divisors (see below), whose sum is σ = 44915453856. Its totient is φ = 3948610176.

The previous prime is 13820137631. The next prime is 13820137633. The reversal of 13820137632 is 23673102831.

13820137632 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 0 + 13 + 7 + 632 = 666.

13820137632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13820137631) and next prime (13820137633).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (13820137631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3425598 + ... + 3429629.

It is an arithmetic number, because the mean of its divisors is an integer number (623825748).

Almost surely, 2^13820137632 is an apocalyptic number.

13820137632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13820137632 is an abundant number, since it is smaller than the sum of its proper divisors (31095316224).

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

13820137632 is a wasteful number, since it uses less digits than its factorization.

13820137632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6855250 (or 6855239 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 13820137632 in words is "thirteen billion, eight hundred twenty million, one hundred thirty-seven thousand, six hundred thirty-two".