133786752 has 128 divisors (see below), whose sum is σ = 408326400. Its totient is φ = 38384640.

The previous prime is 133786711. The next prime is 133786759. The reversal of 133786752 is 257687331.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (133786759) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79423 + ... + 81089.

It is an arithmetic number, because the mean of its divisors is an integer number (3190050).

Almost surely, 2^133786752 is an apocalyptic number.

133786752 is a gapful number since it is divisible by the number (12) 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 133786752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204163200).

133786752 is an abundant number, since it is smaller than the sum of its proper divisors (274539648).

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

133786752 is a wasteful number, since it uses less digits than its factorization.

133786752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 1702 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 133786752 is about 11566.6223246028. The cubic root of 133786752 is about 511.4513980666.

It can be divided in two parts, 133 and 786752, that added together give a triangular number (786885 = T₁₂₅₄).

The spelling of 133786752 in words is "one hundred thirty-three million, seven hundred eighty-six thousand, seven hundred fifty-two".