137312808000 has 224 divisors, whose sum is σ = 480079312128. Its totient is φ = 34462720000.

The previous prime is 137312807887. The next prime is 137312808007. The reversal of 137312808000 is 808213731.

It is not an unprimeable number, because it can be changed into a prime (137312808007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239725 + ... + 576275.

Almost surely, 2^137312808000 is an apocalyptic number.

137312808000 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 137312808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240039656064).

137312808000 is an abundant number, since it is smaller than the sum of its proper divisors (342766504128).

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

137312808000 is a wasteful number, since it uses less digits than its factorization.

137312808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336598 (or 336578 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 137312808000 in words is "one hundred thirty-seven billion, three hundred twelve million, eight hundred eight thousand".