137364890959296 has 2688 divisors, whose sum is σ = 593334619637760. Its totient is φ = 29991223296000.

The previous prime is 137364890959273. The next prime is 137364890959297. The reversal of 137364890959296 is 692959098463731.

137364890959296 is a `hidden beast` number, since 1 + 3 + 7 + 364 + 89 + 0 + 9 + 5 + 92 + 96 = 666.

It is a super-2 number, since 2×137364890959296² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137364890959297) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 28258563906 + ... + 28258568766.

It is an arithmetic number, because the mean of its divisors is an integer number (220734605520).

It is a 1-persistent number, because it is pandigital, but 2⋅137364890959296 = 274729781918592 is not.

Almost surely, 2^{137364890959296} is an apocalyptic number.

137364890959296 is a gapful number since it is divisible by the number (16) 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 137364890959296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296667309818880).

137364890959296 is an abundant number, since it is smaller than the sum of its proper divisors (455969728678464).

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

137364890959296 is a wasteful number, since it uses less digits than its factorization.

137364890959296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4992 (or 4945 counting only the distinct ones).

The product of its (nonzero) digits is 4761711360, while the sum is 81.

The spelling of 137364890959296 in words is "one hundred thirty-seven trillion, three hundred sixty-four billion, eight hundred ninety million, nine hundred fifty-nine thousand, two hundred ninety-six".