133513776 has 120 divisors (see below), whose sum is σ = 420925440. Its totient is φ = 39139200.

The previous prime is 133513771. The next prime is 133513777. The reversal of 133513776 is 677315331.

It is a happy number.

133513776 is a `hidden beast` number, since 133 + 513 + 7 + 7 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 133513776.

It is not an unprimeable number, because it can be changed into a prime (133513771) 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 23 ways as a sum of consecutive naturals, for example, 47745 + ... + 50463.

It is an arithmetic number, because the mean of its divisors is an integer number (3507712).

Almost surely, 2^133513776 is an apocalyptic number.

133513776 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 133513776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210462720).

133513776 is an abundant number, since it is smaller than the sum of its proper divisors (287411664).

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

133513776 is a wasteful number, since it uses less digits than its factorization.

133513776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775 (or 2766 counting only the distinct ones).

The product of its digits is 39690, while the sum is 36.

The square root of 133513776 is about 11554.8161387363. The cubic root of 133513776 is about 511.1033092417.

The spelling of 133513776 in words is "one hundred thirty-three million, five hundred thirteen thousand, seven hundred seventy-six".