133743936 has 56 divisors (see below), whose sum is σ = 355173280. Its totient is φ = 44416512.

The previous prime is 133743931. The next prime is 133743941. The reversal of 133743936 is 639347331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133743931) and next prime (133743941).

It is a junction number, because it is equal to n+sod(n) for n = 133743894 and 133743903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133743931) 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 7 ways as a sum of consecutive naturals, for example, 57810 + ... + 60078.

It is an arithmetic number, because the mean of its divisors is an integer number (6342380).

Almost surely, 2^133743936 is an apocalyptic number.

133743936 is a gapful number since it is divisible by the number (16) 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 133743936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177586640).

133743936 is an abundant number, since it is smaller than the sum of its proper divisors (221429344).

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

133743936 is a wasteful number, since it uses less digits than its factorization.

133743936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591 (or 2581 counting only the distinct ones).

The product of its digits is 122472, while the sum is 39.

The square root of 133743936 is about 11564.7713336667. The cubic root of 133743936 is about 511.3968320272.

The spelling of 133743936 in words is "one hundred thirty-three million, seven hundred forty-three thousand, nine hundred thirty-six".