137089161 has 48 divisors (see below), whose sum is σ = 234823680. Its totient is φ = 76140000.

The previous prime is 137089157. The next prime is 137089171. The reversal of 137089161 is 161980731.

It is not a de Polignac number, because 137089161 - 2² = 137089157 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137089151) 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 47 ways as a sum of consecutive naturals, for example, 57136 + ... + 59486.

It is an arithmetic number, because the mean of its divisors is an integer number (4892160).

Almost surely, 2^137089161 is an apocalyptic number.

137089161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

137089161 is a deficient number, since it is larger than the sum of its proper divisors (97734519).

137089161 is a wasteful number, since it uses less digits than its factorization.

137089161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 137089161 is about 11708.5080603807. The cubic root of 137089161 is about 515.6254831511.

The spelling of 137089161 in words is "one hundred thirty-seven million, eighty-nine thousand, one hundred sixty-one".