137132533 has 2 divisors, whose sum is σ = 137132534. Its totient is φ = 137132532.

The previous prime is 137132531. The next prime is 137132537. The reversal of 137132533 is 335231731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107288164 + 29844369 = 10358^2 + 5463^2 .

It is a cyclic number.

It is not a de Polignac number, because 137132533 - 2¹ = 137132531 is a prime.

Together with 137132531, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137132531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68566266 + 68566267.

It is an arithmetic number, because the mean of its divisors is an integer number (68566267).

Almost surely, 2^137132533 is an apocalyptic number.

It is an amenable number.

137132533 is a deficient number, since it is larger than the sum of its proper divisors (1).

137132533 is an equidigital number, since it uses as much as digits as its factorization.

137132533 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5670, while the sum is 28.

The square root of 137132533 is about 11710.3600713215. The cubic root of 137132533 is about 515.6798549440.

The spelling of 137132533 in words is "one hundred thirty-seven million, one hundred thirty-two thousand, five hundred thirty-three".