137067978960 has 240 divisors, whose sum is σ = 505497253248. Its totient is φ = 33008256000.

The previous prime is 137067978959. The next prime is 137067978961. The reversal of 137067978960 is 69879760731.

It is an interprime number because it is at equal distance from previous prime (137067978959) and next prime (137067978961).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137067978961) 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, 1138614 + ... + 1253226.

Almost surely, 2^137067978960 is an apocalyptic number.

137067978960 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 137067978960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252748626624).

137067978960 is an abundant number, since it is smaller than the sum of its proper divisors (368429274288).

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

137067978960 is a wasteful number, since it uses less digits than its factorization.

137067978960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114794 (or 114785 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 63.

The spelling of 137067978960 in words is "one hundred thirty-seven billion, sixty-seven million, nine hundred seventy-eight thousand, nine hundred sixty".