137998892304 has 240 divisors, whose sum is σ = 488177976832. Its totient is φ = 35411530752.

The previous prime is 137998892287. The next prime is 137998892323. The reversal of 137998892304 is 403298899731.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342537 + ... + 627159.

Almost surely, 2^137998892304 is an apocalyptic number.

137998892304 is a gapful number since it is divisible by the number (14) 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 137998892304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244088988416).

137998892304 is an abundant number, since it is smaller than the sum of its proper divisors (350179084528).

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

137998892304 is a wasteful number, since it uses less digits than its factorization.

137998892304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284694 (or 284685 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 137998892304 in words is "one hundred thirty-seven billion, nine hundred ninety-eight million, eight hundred ninety-two thousand, three hundred four".