137706697728 has 440 divisors, whose sum is σ = 442822744584. Its totient is φ = 42467328000.

The previous prime is 137706697697. The next prime is 137706697741. The reversal of 137706697728 is 827796607731.

It can be written as a sum of positive squares in 4 ways, for example, as 44686577664 + 93020120064 = 211392^2 + 304992^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 86012128 + ... + 86013728.

Almost surely, 2^137706697728 is an apocalyptic number.

137706697728 is a gapful number since it is divisible by the number (18) 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 137706697728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221411372292).

137706697728 is an abundant number, since it is smaller than the sum of its proper divisors (305116046856).

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

137706697728 is a wasteful number, since it uses less digits than its factorization.

137706697728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 37340352, while the sum is 63.

The spelling of 137706697728 in words is "one hundred thirty-seven billion, seven hundred six million, six hundred ninety-seven thousand, seven hundred twenty-eight".