137147733 has 12 divisors (see below), whose sum is σ = 198782220. Its totient is φ = 91118016.

The previous prime is 137147701. The next prime is 137147749. The reversal of 137147733 is 337741731.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 134513604 + 2634129 = 11598^2 + 1623^2 .

It is not a de Polignac number, because 137147733 - 2⁵ = 137147701 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137147783) 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 11 ways as a sum of consecutive naturals, for example, 23368 + ... + 28641.

It is an arithmetic number, because the mean of its divisors is an integer number (16565185).

Almost surely, 2^137147733 is an apocalyptic number.

It is an amenable number.

137147733 is a deficient number, since it is larger than the sum of its proper divisors (61634487).

137147733 is a wasteful number, since it uses less digits than its factorization.

137147733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52308 (or 52305 counting only the distinct ones).

The product of its digits is 37044, while the sum is 36.

The square root of 137147733 is about 11711.0090513158. The cubic root of 137147733 is about 515.6989071801.

The spelling of 137147733 in words is "one hundred thirty-seven million, one hundred forty-seven thousand, seven hundred thirty-three".