137738133 has 24 divisors (see below), whose sum is σ = 215724600. Its totient is φ = 84182400.

The previous prime is 137738113. The next prime is 137738143. The reversal of 137738133 is 331837731.

It can be written as a sum of positive squares in 4 ways, for example, as 777924 + 136960209 = 882^2 + 11703^2 .

It is not a de Polignac number, because 137738133 - 2⁸ = 137737877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137738113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13483 + ... + 21383.

It is an arithmetic number, because the mean of its divisors is an integer number (8988525).

Almost surely, 2^137738133 is an apocalyptic number.

137738133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

137738133 is a deficient number, since it is larger than the sum of its proper divisors (77986467).

137738133 is a wasteful number, since it uses less digits than its factorization.

137738133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8069 (or 8066 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 137738133 is about 11736.1890322200. The cubic root of 137738133 is about 516.4378494702.

The spelling of 137738133 in words is "one hundred thirty-seven million, seven hundred thirty-eight thousand, one hundred thirty-three".