133027776 has 84 divisors (see below), whose sum is σ = 435784752. Its totient is φ = 38006784.

The previous prime is 133027757. The next prime is 133027777. The reversal of 133027776 is 677720331.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-3 number, since 3×133027776³ (a number of 25 digits) contains 333 as substring.

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 133027776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133027777) 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 11 ways as a sum of consecutive naturals, for example, 12465 + ... + 20528.

Almost surely, 2^133027776 is an apocalyptic number.

133027776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

133027776 is an abundant number, since it is smaller than the sum of its proper divisors (302756976).

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

133027776 is a wasteful number, since it uses less digits than its factorization.

133027776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33018 (or 33005 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The square root of 133027776 is about 11533.7667741289. The cubic root of 133027776 is about 510.4824039932.

The spelling of 133027776 in words is "one hundred thirty-three million, twenty-seven thousand, seven hundred seventy-six".