137198672849000 has 256 divisors, whose sum is σ = 367470384652800. Its totient is φ = 46967558400000.

The previous prime is 137198672848987. The next prime is 137198672849023. The reversal of 137198672849000 is 948276891731.

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 63 ways as a sum of consecutive naturals, for example, 16276976786 + ... + 16276985214.

It is an arithmetic number, because the mean of its divisors is an integer number (1435431190050).

Almost surely, 2^{137198672849000} is an apocalyptic number.

137198672849000 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 137198672849000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183735192326400).

137198672849000 is an abundant number, since it is smaller than the sum of its proper divisors (230271711803800).

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

137198672849000 is a wasteful number, since it uses less digits than its factorization.

137198672849000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11741 (or 11727 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 65.

The spelling of 137198672849000 in words is "one hundred thirty-seven trillion, one hundred ninety-eight billion, six hundred seventy-two million, eight hundred forty-nine thousand".