133982780 has 48 divisors (see below), whose sum is σ = 299103840. Its totient is φ = 50239488.

The previous prime is 133982777. The next prime is 133982789. The reversal of 133982780 is 87289331.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133982789) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 105791 + ... + 107049.

It is an arithmetic number, because the mean of its divisors is an integer number (6231330).

Almost surely, 2^133982780 is an apocalyptic number.

133982780 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 133982780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149551920).

133982780 is an abundant number, since it is smaller than the sum of its proper divisors (165121060).

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

133982780 is a wasteful number, since it uses less digits than its factorization.

133982780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 133982780 is about 11575.0930881786. The cubic root of 133982780 is about 511.7010736776.

The spelling of 133982780 in words is "one hundred thirty-three million, nine hundred eighty-two thousand, seven hundred eighty".