137424734016 has 112 divisors (see below), whose sum is σ = 375693846528. Its totient is φ = 44287833600.

The previous prime is 137424734009. The next prime is 137424734039. The reversal of 137424734016 is 610437424731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6483051 + ... + 6504213.

It is an arithmetic number, because the mean of its divisors is an integer number (3354409344).

Almost surely, 2^137424734016 is an apocalyptic number.

137424734016 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 137424734016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187846923264).

137424734016 is an abundant number, since it is smaller than the sum of its proper divisors (238269112512).

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

137424734016 is a wasteful number, since it uses less digits than its factorization.

137424734016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22300 (or 22290 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 137424734016 in words is "one hundred thirty-seven billion, four hundred twenty-four million, seven hundred thirty-four thousand, sixteen".