133482816 has 98 divisors (see below), whose sum is σ = 397277082. Its totient is φ = 44478720.

The previous prime is 133482803. The next prime is 133482829. The reversal of 133482816 is 618284331.

It is an interprime number because it is at equal distance from previous prime (133482803) and next prime (133482829).

It can be written as a sum of positive squares in only one way, i.e., 116640000 + 16842816 = 10800^2 + 4104^2 .

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

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

It is a congruent number.

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 45226 + ... + 48086.

Almost surely, 2^133482816 is an apocalyptic number.

133482816 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 133482816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198638541).

133482816 is an abundant number, since it is smaller than the sum of its proper divisors (263794266).

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

133482816 is an frugal number, since it uses more digits than its factorization.

133482816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891 (or 2866 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 133482816 is about 11553.4763599533. The cubic root of 133482816 is about 511.0638002557.

The spelling of 133482816 in words is "one hundred thirty-three million, four hundred eighty-two thousand, eight hundred sixteen".