137780644 has 9 divisors (see below), whose sum is σ = 241157217. Its totient is φ = 68878584.

The previous prime is 137780627. The next prime is 137780693. The reversal of 137780644 is 446087731.

The square root of 137780644 is 11738.

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

It can be written as a sum of positive squares in only one way, i.e., 13235044 + 124545600 = 3638^2 + 11160^2 .

It is a super-2 number, since 2×137780644² = 37967011722109472, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137780597 and 137780606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 20542 + ... + 26410.

Almost surely, 2^137780644 is an apocalyptic number.

137780644 is the 11738-th square number.

It is an amenable number.

137780644 is a deficient number, since it is larger than the sum of its proper divisors (103376573).

137780644 is an frugal number, since it uses more digits than its factorization.

137780644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11742 (or 5871 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The cubic root of 137780644 is about 516.4909745095.

Multiplying 137780644 by its product of nonzero digits (112896), we get a square (15554883585024 = 3943968²).

The spelling of 137780644 in words is "one hundred thirty-seven million, seven hundred eighty thousand, six hundred forty-four".