137954323584 has 512 divisors, whose sum is σ = 521380915200. Its totient is φ = 34861363200.

The previous prime is 137954323579. The next prime is 137954323607. The reversal of 137954323584 is 485323459731.

137954323584 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 54 + 3 + 2 + 3 + 584 = 666.

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 137954323584.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9839139 + ... + 9853149.

It is an arithmetic number, because the mean of its divisors is an integer number (1018322100).

Almost surely, 2^137954323584 is an apocalyptic number.

137954323584 is a gapful number since it is divisible by the number (14) 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 137954323584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260690457600).

137954323584 is an abundant number, since it is smaller than the sum of its proper divisors (383426591616).

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

137954323584 is a wasteful number, since it uses less digits than its factorization.

137954323584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14089 (or 14071 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 137954323584 in words is "one hundred thirty-seven billion, nine hundred fifty-four million, three hundred twenty-three thousand, five hundred eighty-four".