137405284 has 9 divisors (see below), whose sum is σ = 240500281. Its totient is φ = 68690920.

The previous prime is 137405249. The next prime is 137405287. The reversal of 137405284 is 482504731.

The square root of 137405284 is 11722.

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., 62062884 + 75342400 = 7878^2 + 8680^2 .

It is a super-2 number, since 2×137405284² = 37760424142241312, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137405287) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 20514 + ... + 26374.

Almost surely, 2^137405284 is an apocalyptic number.

137405284 is the 11722-nd square number.

It is an amenable number.

137405284 is a deficient number, since it is larger than the sum of its proper divisors (103094997).

137405284 is an frugal number, since it uses more digits than its factorization.

137405284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11726 (or 5863 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The cubic root of 137405284 is about 516.0215172406.

The spelling of 137405284 in words is "one hundred thirty-seven million, four hundred five thousand, two hundred eighty-four".