133837137 has 64 divisors (see below), whose sum is σ = 238878720. Its totient is φ = 72446400.

The previous prime is 133837127. The next prime is 133837147. The reversal of 133837137 is 731738331.

It is an interprime number because it is at equal distance from previous prime (133837127) and next prime (133837147).

It is not a de Polignac number, because 133837137 - 2¹¹ = 133835089 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (133837127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 310312 + ... + 310742.

It is an arithmetic number, because the mean of its divisors is an integer number (3732480).

Almost surely, 2^133837137 is an apocalyptic number.

It is an amenable number.

133837137 is a deficient number, since it is larger than the sum of its proper divisors (105041583).

133837137 is a wasteful number, since it uses less digits than its factorization.

133837137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 525 counting only the distinct ones).

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

The square root of 133837137 is about 11568.8001538621. The cubic root of 133837137 is about 511.5155953656.

The spelling of 133837137 in words is "one hundred thirty-three million, eight hundred thirty-seven thousand, one hundred thirty-seven".