137338968400 has 120 divisors (see below), whose sum is σ = 333662644224. Its totient is φ = 54321523200.

The previous prime is 137338968391. The next prime is 137338968419. The reversal of 137338968400 is 4869833731.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15794454 + ... + 15803146.

Almost surely, 2^137338968400 is an apocalyptic number.

137338968400 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 137338968400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166831322112).

137338968400 is an abundant number, since it is smaller than the sum of its proper divisors (196323675824).

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

137338968400 is a wasteful number, since it uses less digits than its factorization.

137338968400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9149 (or 9138 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 137338968400 in words is "one hundred thirty-seven billion, three hundred thirty-eight million, nine hundred sixty-eight thousand, four hundred".