137068396416 has 384 divisors, whose sum is σ = 481723070400. Its totient is φ = 36516593664.

The previous prime is 137068396411. The next prime is 137068396459. The reversal of 137068396416 is 614693860731.

It is a happy number.

137068396416 is a `hidden beast` number, since 13 + 70 + 68 + 3 + 96 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137068396411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14938006 + ... + 14947178.

Almost surely, 2^137068396416 is an apocalyptic number.

137068396416 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 137068396416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240861535200).

137068396416 is an abundant number, since it is smaller than the sum of its proper divisors (344654673984).

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

137068396416 is a wasteful number, since it uses less digits than its factorization.

137068396416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9326 (or 9311 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 137068396416 in words is "one hundred thirty-seven billion, sixty-eight million, three hundred ninety-six thousand, four hundred sixteen".