137535153 has 16 divisors (see below), whose sum is σ = 209819520. Its totient is φ = 78500736.

The previous prime is 137535149. The next prime is 137535163. The reversal of 137535153 is 351535731.

It is not a de Polignac number, because 137535153 - 2² = 137535149 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137535103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17653 + ... + 24221.

It is an arithmetic number, because the mean of its divisors is an integer number (13113720).

Almost surely, 2^137535153 is an apocalyptic number.

It is an amenable number.

137535153 is a deficient number, since it is larger than the sum of its proper divisors (72284367).

137535153 is an equidigital number, since it uses as much as digits as its factorization.

137535153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7576.

The product of its digits is 23625, while the sum is 33.

The square root of 137535153 is about 11727.5382327239. The cubic root of 137535153 is about 516.1840391232.

The spelling of 137535153 in words is "one hundred thirty-seven million, five hundred thirty-five thousand, one hundred fifty-three".