133283436 has 144 divisors (see below), whose sum is σ = 385389312. Its totient is φ = 35544960.

The previous prime is 133283411. The next prime is 133283441. The reversal of 133283436 is 634382331.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 133283397 and 133283406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433995 + ... + 434301.

Almost surely, 2^133283436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133283436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192694656).

133283436 is an abundant number, since it is smaller than the sum of its proper divisors (252105876).

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

133283436 is a wasteful number, since it uses less digits than its factorization.

133283436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 359 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 133283436 is about 11544.8445637003. The cubic root of 133283436 is about 510.8092189824.

The spelling of 133283436 in words is "one hundred thirty-three million, two hundred eighty-three thousand, four hundred thirty-six".