137533808 has 20 divisors (see below), whose sum is σ = 282147120. Its totient is φ = 64721664.

The previous prime is 137533801. The next prime is 137533811. The reversal of 137533808 is 808335731.

It is a happy number.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 252548 + ... + 253091.

It is an arithmetic number, because the mean of its divisors is an integer number (14107356).

Almost surely, 2^137533808 is an apocalyptic number.

It is an amenable number.

137533808 is an abundant number, since it is smaller than the sum of its proper divisors (144613312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137533808 is a wasteful number, since it uses less digits than its factorization.

137533808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505664 (or 505658 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 137533808 is about 11727.4808889207. The cubic root of 137533808 is about 516.1823564751.

The spelling of 137533808 in words is "one hundred thirty-seven million, five hundred thirty-three thousand, eight hundred eight".