137533803 has 24 divisors (see below), whose sum is σ = 206503248. Its totient is φ = 81312000.

The previous prime is 137533801. The next prime is 137533811. The reversal of 137533803 is 308335731.

It is not a de Polignac number, because 137533803 - 2¹ = 137533801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 23 ways as a sum of consecutive naturals, for example, 10263 + ... + 19503.

It is an arithmetic number, because the mean of its divisors is an integer number (8604302).

Almost surely, 2^137533803 is an apocalyptic number.

137533803 is a deficient number, since it is larger than the sum of its proper divisors (68969445).

137533803 is a wasteful number, since it uses less digits than its factorization.

137533803 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9307 (or 9296 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 137533803 is about 11727.4806757462. The cubic root of 137533803 is about 516.1823502199.

The spelling of 137533803 in words is "one hundred thirty-seven million, five hundred thirty-three thousand, eight hundred three".