137235109 has 32 divisors (see below), whose sum is σ = 161971200. Its totient is φ = 115084800.

The previous prime is 137235107. The next prime is 137235127. The reversal of 137235109 is 901532731.

It is not a de Polignac number, because 137235109 - 2¹ = 137235107 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137235103) 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, 920967 + ... + 921115.

It is an arithmetic number, because the mean of its divisors is an integer number (5061600).

Almost surely, 2^137235109 is an apocalyptic number.

It is an amenable number.

137235109 is a deficient number, since it is larger than the sum of its proper divisors (24736091).

137235109 is a wasteful number, since it uses less digits than its factorization.

137235109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301.

The product of its (nonzero) digits is 5670, while the sum is 31.

The square root of 137235109 is about 11714.7389642279. The cubic root of 137235109 is about 515.8084001602.

It can be divided in two parts, 1372 and 35109, that added together give a square (36481 = 191²).

The spelling of 137235109 in words is "one hundred thirty-seven million, two hundred thirty-five thousand, one hundred nine".