137632620646249 has 3 divisors (see below), whose sum is σ = 137632632377943. Its totient is φ = 137632608914556.

The previous prime is 137632620646121. The next prime is 137632620646343. The reversal of 137632620646249 is 942646026236731.

The square root of 137632620646249 is 11731693.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 136620447825625 + 1012172820624 = 11688475^2 + 1006068^2 .

It is not a de Polignac number, because 137632620646249 - 2⁷ = 137632620646121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137632620641249) 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, 5865847 + ... + 17597539.

It is an arithmetic number, because the mean of its divisors is an integer number (45877544125981).

Almost surely, 2^{137632620646249} is an apocalyptic number.

137632620646249 is the 11731693-rd square number.

137632620646249 is the 5865847-th centered octagonal number.

It is an amenable number.

137632620646249 is a deficient number, since it is larger than the sum of its proper divisors (11731694).

137632620646249 is an frugal number, since it uses more digits than its factorization.

137632620646249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23463386 (or 11731693 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 61.

The spelling of 137632620646249 in words is "one hundred thirty-seven trillion, six hundred thirty-two billion, six hundred twenty million, six hundred forty-six thousand, two hundred forty-nine".