137393248379904 has 264 divisors, whose sum is σ = 432916936246080. Its totient is φ = 41621671526400.

The previous prime is 137393248379873. The next prime is 137393248379909. The reversal of 137393248379904 is 409973842393731.

It is a happy number.

137393248379904 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 9 + 3 + 248 + 379 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×137393248379904² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (137393248379909) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 336262774 + ... + 336671114.

It is an arithmetic number, because the mean of its divisors is an integer number (1639836879720).

Almost surely, 2^{137393248379904} 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 137393248379904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216458468123040).

137393248379904 is an abundant number, since it is smaller than the sum of its proper divisors (295523687866176).

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

137393248379904 is a wasteful number, since it uses less digits than its factorization.

137393248379904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411697 (or 411676 counting only the distinct ones).

The product of its (nonzero) digits is 740710656, while the sum is 72.

The spelling of 137393248379904 in words is "one hundred thirty-seven trillion, three hundred ninety-three billion, two hundred forty-eight million, three hundred seventy-nine thousand, nine hundred four".