137577661 has 6 divisors (see below), whose sum is σ = 148974810. Its totient is φ = 126994608.

The previous prime is 137577619. The next prime is 137577677. The reversal of 137577661 is 166775731.

It can be written as a sum of positive squares in 3 ways, for example, as 2785561 + 134792100 = 1669^2 + 11610^2 .

It is not a de Polignac number, because 137577661 - 2⁹ = 137577149 is a prime.

It is a super-2 number, since 2×137577661² = 37855225612461842, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137577691) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 406866 + ... + 407203.

It is an arithmetic number, because the mean of its divisors is an integer number (24829135).

Almost surely, 2^137577661 is an apocalyptic number.

It is an amenable number.

137577661 is a deficient number, since it is larger than the sum of its proper divisors (11397149).

137577661 is an equidigital number, since it uses as much as digits as its factorization.

137577661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814095 (or 814082 counting only the distinct ones).

The product of its digits is 185220, while the sum is 43.

The square root of 137577661 is about 11729.3504082707. The cubic root of 137577661 is about 516.2372126587.

The spelling of 137577661 in words is "one hundred thirty-seven million, five hundred seventy-seven thousand, six hundred sixty-one".