133820676 has 108 divisors (see below), whose sum is σ = 384197632. Its totient is φ = 39204000.

The previous prime is 133820669. The next prime is 133820683. The reversal of 133820676 is 676028331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133820669) and next prime (133820683).

It is a super-3 number, since 3×133820676³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 133820676.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 134541 + ... + 135531.

Almost surely, 2^133820676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133820676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192098816).

133820676 is an abundant number, since it is smaller than the sum of its proper divisors (250376956).

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

133820676 is a wasteful number, since it uses less digits than its factorization.

133820676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 133820676 is about 11568.0886926061. The cubic root of 133820676 is about 511.4946235994.

The spelling of 133820676 in words is "one hundred thirty-three million, eight hundred twenty thousand, six hundred seventy-six".