137068991280 has 1440 divisors, whose sum is σ = 571942964736. Its totient is φ = 29225484288.

The previous prime is 137068991261. The next prime is 137068991287. The reversal of 137068991280 is 82199860731.

137068991280 is a `hidden beast` number, since 1 + 370 + 68 + 99 + 128 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (137068991287) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2045805807 + ... + 2045805873.

Almost surely, 2^137068991280 is an apocalyptic number.

137068991280 is a gapful number since it is divisible by the number (10) 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 137068991280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285971482368).

137068991280 is an abundant number, since it is smaller than the sum of its proper divisors (434873973456).

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

137068991280 is a wasteful number, since it uses less digits than its factorization.

137068991280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 137068991280 in words is "one hundred thirty-seven billion, sixty-eight million, nine hundred ninety-one thousand, two hundred eighty".