137414133 has 6 divisors (see below), whose sum is σ = 198487094. Its totient is φ = 91609416.

The previous prime is 137414129. The next prime is 137414141. The reversal of 137414133 is 331414731.

It can be written as a sum of positive squares in only one way, i.e., 97950609 + 39463524 = 9897^2 + 6282^2 .

It is not a de Polignac number, because 137414133 - 2² = 137414129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137414097 and 137414106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137414143) 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, 7634110 + ... + 7634127.

Almost surely, 2^137414133 is an apocalyptic number.

It is an amenable number.

137414133 is a deficient number, since it is larger than the sum of its proper divisors (61072961).

137414133 is a wasteful number, since it uses less digits than its factorization.

137414133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15268243 (or 15268240 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 137414133 is about 11722.3774465763. The cubic root of 137414133 is about 516.0325943896.

Adding to 137414133 its reverse (331414731), we get a palindrome (468828864).

The spelling of 137414133 in words is "one hundred thirty-seven million, four hundred fourteen thousand, one hundred thirty-three".