137447649216 has 336 divisors, whose sum is σ = 416573134848. Its totient is φ = 43268659200.

The previous prime is 137447649197. The next prime is 137447649221. The reversal of 137447649216 is 612946744731.

137447649216 is a `hidden beast` number, since 1 + 3 + 74 + 4 + 76 + 492 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294320215 + ... + 294320681.

Almost surely, 2^137447649216 is an apocalyptic number.

137447649216 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 137447649216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208286567424).

137447649216 is an abundant number, since it is smaller than the sum of its proper divisors (279125485632).

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

137447649216 is a wasteful number, since it uses less digits than its factorization.

137447649216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 867 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 137447649216 in words is "one hundred thirty-seven billion, four hundred forty-seven million, six hundred forty-nine thousand, two hundred sixteen".