137424661 has 12 divisors (see below), whose sum is σ = 154743372. Its totient is φ = 121880000.

The previous prime is 137424641. The next prime is 137424671. The reversal of 137424661 is 166424731.

It can be written as a sum of positive squares in 2 ways, for example, as 27300625 + 110124036 = 5225^2 + 10494^2 .

It is not a de Polignac number, because 137424661 - 2¹¹ = 137422613 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137424641) 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 11 ways as a sum of consecutive naturals, for example, 8890 + ... + 18811.

It is an arithmetic number, because the mean of its divisors is an integer number (12895281).

Almost surely, 2^137424661 is an apocalyptic number.

137424661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

137424661 is a deficient number, since it is larger than the sum of its proper divisors (17318711).

137424661 is a wasteful number, since it uses less digits than its factorization.

137424661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27764 (or 27753 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 137424661 is about 11722.8264936405. The cubic root of 137424661 is about 516.0457726857.

The spelling of 137424661 in words is "one hundred thirty-seven million, four hundred twenty-four thousand, six hundred sixty-one".