137508999936 has 432 divisors, whose sum is σ = 463392394752. Its totient is φ = 35432939520.

The previous prime is 137508999931. The next prime is 137508999967. The reversal of 137508999936 is 639999805731.

137508999936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (137508999931) 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, 89117181 + ... + 89118723.

Almost surely, 2^137508999936 is an apocalyptic number.

137508999936 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 137508999936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231696197376).

137508999936 is an abundant number, since it is smaller than the sum of its proper divisors (325883394816).

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

137508999936 is a wasteful number, since it uses less digits than its factorization.

137508999936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 99202320, while the sum is 69.

The spelling of 137508999936 in words is "one hundred thirty-seven billion, five hundred eight million, nine hundred ninety-nine thousand, nine hundred thirty-six".