133766820 has 72 divisors (see below), whose sum is σ = 442653120. Its totient is φ = 32427840.

The previous prime is 133766807. The next prime is 133766837. The reversal of 133766820 is 28667331.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31800 + ... + 35759.

It is an arithmetic number, because the mean of its divisors is an integer number (6147960).

Almost surely, 2^133766820 is an apocalyptic number.

133766820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133766820 is an abundant number, since it is smaller than the sum of its proper divisors (308886300).

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

133766820 is a wasteful number, since it uses less digits than its factorization.

133766820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67585 (or 67580 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 133766820 is about 11565.7606753728. The cubic root of 133766820 is about 511.4259975556.

The spelling of 133766820 in words is "one hundred thirty-three million, seven hundred sixty-six thousand, eight hundred twenty".