137006133 has 32 divisors (see below), whose sum is σ = 206236800. Its totient is φ = 80179200.

The previous prime is 137006119. The next prime is 137006141. The reversal of 137006133 is 331600731.

It is not a de Polignac number, because 137006133 - 2¹⁰ = 137005109 is a prime.

It is a super-2 number, since 2×137006133² = 37541360959227378, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137006533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147013 + ... + 147941.

It is an arithmetic number, because the mean of its divisors is an integer number (6444900).

Almost surely, 2^137006133 is an apocalyptic number.

It is an amenable number.

137006133 is a deficient number, since it is larger than the sum of its proper divisors (69230667).

137006133 is a wasteful number, since it uses less digits than its factorization.

137006133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093.

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 137006133 is about 11704.9618965634. The cubic root of 137006133 is about 515.5213660006.

Adding to 137006133 its reverse (331600731), we get a palindrome (468606864).

The spelling of 137006133 in words is "one hundred thirty-seven million, six thousand, one hundred thirty-three".