137735521 has 24 divisors (see below), whose sum is σ = 178540416. Its totient is φ = 105023520.

The previous prime is 137735519. The next prime is 137735539. The reversal of 137735521 is 125537731.

It is not a de Polignac number, because 137735521 - 2¹ = 137735519 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137735501) 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 23 ways as a sum of consecutive naturals, for example, 22615 + ... + 28051.

It is an arithmetic number, because the mean of its divisors is an integer number (7439184).

Almost surely, 2^137735521 is an apocalyptic number.

137735521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

137735521 is a deficient number, since it is larger than the sum of its proper divisors (40804895).

137735521 is a wasteful number, since it uses less digits than its factorization.

137735521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5509 (or 5502 counting only the distinct ones).

The product of its digits is 22050, while the sum is 34.

The square root of 137735521 is about 11736.0777519578. The cubic root of 137735521 is about 516.4345849562.

The spelling of 137735521 in words is "one hundred thirty-seven million, seven hundred thirty-five thousand, five hundred twenty-one".