133773120 has 280 divisors, whose sum is σ = 513749544. Its totient is φ = 32845824.

The previous prime is 133773103. The next prime is 133773121. The reversal of 133773120 is 21377331.

It can be written as a sum of positive squares in 4 ways, for example, as 5992704 + 127780416 = 2448^2 + 11304^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133773121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 336762 + ... + 337158.

Almost surely, 2^133773120 is an apocalyptic number.

133773120 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 133773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256874772).

133773120 is an abundant number, since it is smaller than the sum of its proper divisors (379976424).

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

133773120 is a wasteful number, since it uses less digits than its factorization.

133773120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 133773120 is about 11566.0330277931. The cubic root of 133773120 is about 511.4340262860.

The spelling of 133773120 in words is "one hundred thirty-three million, seven hundred seventy-three thousand, one hundred twenty".