137816293888 has 320 divisors, whose sum is σ = 359456993280. Its totient is φ = 51259392000.

The previous prime is 137816293829. The next prime is 137816293891. The reversal of 137816293888 is 888392618731.

It is a happy number.

It is a super-2 number, since 2×137816293888² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133671933 + ... + 133672963.

It is an arithmetic number, because the mean of its divisors is an integer number (1123303104).

Almost surely, 2^137816293888 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 137816293888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179728496640).

137816293888 is an abundant number, since it is smaller than the sum of its proper divisors (221640699392).

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

137816293888 is a wasteful number, since it uses less digits than its factorization.

137816293888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1223 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 64.

The spelling of 137816293888 in words is "one hundred thirty-seven billion, eight hundred sixteen million, two hundred ninety-three thousand, eight hundred eighty-eight".