137706303744 has 189 divisors, whose sum is σ = 412603839543. Its totient is φ = 45848664576.

The previous prime is 137706303739. The next prime is 137706303853. The reversal of 137706303744 is 447303607731.

The square root of 137706303744 is 371088.

It is a perfect power (a square), and thus also a powerful number.

137706303744 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 0 + 630 + 3 + 7 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 137706303744.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 160309587 + ... + 160310445.

Almost surely, 2^137706303744 is an apocalyptic number.

137706303744 is the 371088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137706303744

137706303744 is an abundant number, since it is smaller than the sum of its proper divisors (274897535799).

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

137706303744 is an frugal number, since it uses more digits than its factorization.

137706303744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 45.

The spelling of 137706303744 in words is "one hundred thirty-seven billion, seven hundred six million, three hundred three thousand, seven hundred forty-four".