137276944896 has 480 divisors, whose sum is σ = 461364095808. Its totient is φ = 35951247360.

The previous prime is 137276944891. The next prime is 137276944901. The reversal of 137276944896 is 698449672731.

It is an interprime number because it is at equal distance from previous prime (137276944891) and next prime (137276944901).

It is not an unprimeable number, because it can be changed into a prime (137276944891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169268331 + ... + 169269141.

Almost surely, 2^137276944896 is an apocalyptic number.

137276944896 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 137276944896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230682047904).

137276944896 is an abundant number, since it is smaller than the sum of its proper divisors (324087150912).

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

137276944896 is a wasteful number, since it uses less digits than its factorization.

137276944896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1009 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 66.

The spelling of 137276944896 in words is "one hundred thirty-seven billion, two hundred seventy-six million, nine hundred forty-four thousand, eight hundred ninety-six".