133397784 has 144 divisors (see below), whose sum is σ = 412518600. Its totient is φ = 38817792.

The previous prime is 133397773. The next prime is 133397807. The reversal of 133397784 is 487793331.

It is a super-2 number, since 2×133397784² = 35589937552221312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 230904 + ... + 231480.

Almost surely, 2^133397784 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 133397784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206259300).

133397784 is an abundant number, since it is smaller than the sum of its proper divisors (279120816).

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

133397784 is a wasteful number, since it uses less digits than its factorization.

133397784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 614 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 133397784 is about 11549.7958423515. The cubic root of 133397784 is about 510.9552569257.

The spelling of 133397784 in words is "one hundred thirty-three million, three hundred ninety-seven thousand, seven hundred eighty-four".