133922880 has 504 divisors, whose sum is σ = 584969112. Its totient is φ = 27869184.

The previous prime is 133922879. The next prime is 133922903. The reversal of 133922880 is 88229331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3415104 + 130507776 = 1848^2 + 11424^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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 71 ways as a sum of consecutive naturals, for example, 1834524 + ... + 1834596.

It is an arithmetic number, because the mean of its divisors is an integer number (1160653).

Almost surely, 2^133922880 is an apocalyptic number.

133922880 is a gapful number since it is divisible by the number (10) 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 133922880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292484556).

133922880 is an abundant number, since it is smaller than the sum of its proper divisors (451046232).

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

133922880 is a wasteful number, since it uses less digits than its factorization.

133922880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 133922880 is about 11572.5053467259. The cubic root of 133922880 is about 511.6248065057.

The spelling of 133922880 in words is "one hundred thirty-three million, nine hundred twenty-two thousand, eight hundred eighty".