133917593693 has 48 divisors (see below), whose sum is σ = 150752281680. Its totient is φ = 118825574400.

The previous prime is 133917593659. The next prime is 133917593713. The reversal of 133917593693 is 396395719331.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 121296868729 + 12620724964 = 348277^2 + 112342^2 .

It is not a de Polignac number, because 133917593693 - 2⁸ = 133917593437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133917593603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175975433 + ... + 175976193.

It is an arithmetic number, because the mean of its divisors is an integer number (3140672535).

Almost surely, 2^133917593693 is an apocalyptic number.

133917593693 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133917593693 is a deficient number, since it is larger than the sum of its proper divisors (16834687987).

133917593693 is a wasteful number, since it uses less digits than its factorization.

133917593693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1157 counting only the distinct ones).

The product of its digits is 12400290, while the sum is 59.

The spelling of 133917593693 in words is "one hundred thirty-three billion, nine hundred seventeen million, five hundred ninety-three thousand, six hundred ninety-three".