137138772384 has 144 divisors (see below), whose sum is σ = 404910690912. Its totient is φ = 45658867968.

The previous prime is 137138772373. The next prime is 137138772437. The reversal of 137138772384 is 483277831731.

137138772384 is a `hidden beast` number, since 1 + 371 + 38 + 7 + 7 + 238 + 4 = 666.

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

It is a super-2 number, since 2×137138772384² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 137138772384.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6856222 + ... + 6876194.

It is an arithmetic number, because the mean of its divisors is an integer number (2811879798).

Almost surely, 2^137138772384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137138772384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202455345456).

137138772384 is an abundant number, since it is smaller than the sum of its proper divisors (267771918528).

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

137138772384 is an equidigital number, since it uses as much as digits as its factorization.

137138772384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20881 (or 20861 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The spelling of 137138772384 in words is "one hundred thirty-seven billion, one hundred thirty-eight million, seven hundred seventy-two thousand, three hundred eighty-four".