137342423522304 has 4928 divisors, whose sum is σ = 586971597004800. Its totient is φ = 31867018444800.

The previous prime is 137342423522261. The next prime is 137342423522323. The reversal of 137342423522304 is 403225324243731.

137342423522304 is a `hidden beast` number, since 1 + 3 + 7 + 34 + 242 + 352 + 23 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (4928).

It is a self number, because there is not a number n which added to its sum of digits gives 137342423522304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 4430400758769 + ... + 4430400758799.

Almost surely, 2^{137342423522304} is an apocalyptic number.

137342423522304 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 137342423522304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293485798502400).

137342423522304 is an abundant number, since it is smaller than the sum of its proper divisors (449629173482496).

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

137342423522304 is an frugal number, since it uses more digits than its factorization.

137342423522304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 45.

The spelling of 137342423522304 in words is "one hundred thirty-seven trillion, three hundred forty-two billion, four hundred twenty-three million, five hundred twenty-two thousand, three hundred four".