133939764 has 96 divisors (see below), whose sum is σ = 414167040. Its totient is φ = 36599904.

The previous prime is 133939763. The next prime is 133939769. The reversal of 133939764 is 467939331.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133939763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13537 + ... + 21239.

It is an arithmetic number, because the mean of its divisors is an integer number (4314240).

Almost surely, 2^133939764 is an apocalyptic number.

133939764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133939764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207083520).

133939764 is an abundant number, since it is smaller than the sum of its proper divisors (280227276).

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

133939764 is a wasteful number, since it uses less digits than its factorization.

133939764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7746 (or 7738 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The square root of 133939764 is about 11573.2348114086. The cubic root of 133939764 is about 511.6463062181.

The spelling of 133939764 in words is "one hundred thirty-three million, nine hundred thirty-nine thousand, seven hundred sixty-four".