133782480 has 120 divisors (see below), whose sum is σ = 483880488. Its totient is φ = 32928768.

The previous prime is 133782419. The next prime is 133782511. The reversal of 133782480 is 84287331.

It can be written as a sum of positive squares in 4 ways, for example, as 7354944 + 126427536 = 2712^2 + 11244^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2214 + ... + 16506.

Almost surely, 2^133782480 is an apocalyptic number.

133782480 is a gapful number since it is divisible by the number (10) 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 133782480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241940244).

133782480 is an abundant number, since it is smaller than the sum of its proper divisors (350098008).

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

133782480 is a wasteful number, since it uses less digits than its factorization.

133782480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14325 (or 14316 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 133782480 is about 11566.4376538327. The cubic root of 133782480 is about 511.4459542200.

The spelling of 133782480 in words is "one hundred thirty-three million, seven hundred eighty-two thousand, four hundred eighty".