137533805 has 16 divisors (see below), whose sum is σ = 171082800. Its totient is φ = 106014720.

The previous prime is 137533801. The next prime is 137533811. The reversal of 137533805 is 508335731.

It can be written as a sum of positive squares in 8 ways, for example, as 15342889 + 122190916 = 3917^2 + 11054^2 .

It is not a de Polignac number, because 137533805 - 2² = 137533801 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137533801) 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, 134195 + ... + 135215.

It is an arithmetic number, because the mean of its divisors is an integer number (10692675).

Almost surely, 2^137533805 is an apocalyptic number.

It is an amenable number.

137533805 is a deficient number, since it is larger than the sum of its proper divisors (33548995).

137533805 is a wasteful number, since it uses less digits than its factorization.

137533805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984.

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 137533805 is about 11727.4807610160. The cubic root of 137533805 is about 516.1823527220.

The spelling of 137533805 in words is "one hundred thirty-seven million, five hundred thirty-three thousand, eight hundred five".