137009181 has 16 divisors (see below), whose sum is σ = 190702080. Its totient is φ = 87394560.

The previous prime is 137009149. The next prime is 137009203. The reversal of 137009181 is 181900731.

137009181 is a nontrivial binomial coefficient, being equal to C(16554, 2).

It is not a de Polignac number, because 137009181 - 2⁵ = 137009149 is a prime.

It is a super-2 number, since 2×137009181² = 37543031356581522, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137009141) 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 15 ways as a sum of consecutive naturals, for example, 1 + ... + 16553.

It is an arithmetic number, because the mean of its divisors is an integer number (11918880).

It is a Poulet number, since it divides 2^137009180-1.

Almost surely, 2^137009181 is an apocalyptic number.

137009181 is the 16553-rd triangular number and also the 8277-th hexagonal number.

It is an amenable number.

137009181 is a deficient number, since it is larger than the sum of its proper divisors (53692899).

137009181 is a wasteful number, since it uses less digits than its factorization.

137009181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16676.

The product of its (nonzero) digits is 1512, while the sum is 30.

The square root of 137009181 is about 11705.0920970320. The cubic root of 137009181 is about 515.5251889376.

The spelling of 137009181 in words is "one hundred thirty-seven million, nine thousand, one hundred eighty-one".