133096820 has 24 divisors (see below), whose sum is σ = 280042728. Its totient is φ = 53136000.

The previous prime is 133096819. The next prime is 133096849. The reversal of 133096820 is 28690331.

It can be written as a sum of positive squares in 4 ways, for example, as 4999696 + 128097124 = 2236^2 + 11318^2 .

It is a super-3 number, since 3×133096820³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4670 + ... + 16970.

It is an arithmetic number, because the mean of its divisors is an integer number (11668447).

Almost surely, 2^133096820 is an apocalyptic number.

133096820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133096820 is an abundant number, since it is smaller than the sum of its proper divisors (146945908).

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

133096820 is a wasteful number, since it uses less digits than its factorization.

133096820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12851 (or 12849 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 133096820 is about 11536.7595103651. The cubic root of 133096820 is about 510.5707054798.

The spelling of 133096820 in words is "one hundred thirty-three million, ninety-six thousand, eight hundred twenty".