137663289 has 9 divisors (see below), whose sum is σ = 198897829. Its totient is φ = 91752060.

The previous prime is 137663221. The next prime is 137663299. The reversal of 137663289 is 982366731.

The square root of 137663289 is 11733.

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

137663289 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 632 + 8 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 137663289 - 2¹¹ = 137661241 is a prime.

It is a super-2 number, since 2×137663289² = 37902362276595042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137663299) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33244 + ... + 37154.

Almost surely, 2^137663289 is an apocalyptic number.

137663289 is the 11733-rd square number.

137663289 is the 5867-th centered octagonal number.

It is an amenable number.

137663289 is a deficient number, since it is larger than the sum of its proper divisors (61234540).

137663289 is an frugal number, since it uses more digits than its factorization.

137663289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7828 (or 3914 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The cubic root of 137663289 is about 516.3442920396.

The spelling of 137663289 in words is "one hundred thirty-seven million, six hundred sixty-three thousand, two hundred eighty-nine".