137382099753024 has 336 divisors, whose sum is σ = 476578615413888. Its totient is φ = 36937617260544.

The previous prime is 137382099752999. The next prime is 137382099753037. The reversal of 137382099753024 is 420357990283731.

137382099753024 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 8 + 2 + 0 + 9 + 97 + 530 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473973967 + ... + 474263729.

Almost surely, 2^{137382099753024} is an apocalyptic number.

137382099753024 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 137382099753024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238289307706944).

137382099753024 is an abundant number, since it is smaller than the sum of its proper divisors (339196515660864).

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

137382099753024 is a wasteful number, since it uses less digits than its factorization.

137382099753024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296722 (or 296709 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 137382099753024 in words is "one hundred thirty-seven trillion, three hundred eighty-two billion, ninety-nine million, seven hundred fifty-three thousand, twenty-four".