133436408 has 48 divisors (see below), whose sum is σ = 295091280. Its totient is φ = 56391552.

The previous prime is 133436399. The next prime is 133436423. The reversal of 133436408 is 804634331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26285 + ... + 30947.

It is an arithmetic number, because the mean of its divisors is an integer number (6147735).

Almost surely, 2^133436408 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 133436408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147545640).

133436408 is an abundant number, since it is smaller than the sum of its proper divisors (161654872).

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

133436408 is a wasteful number, since it uses less digits than its factorization.

133436408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4756 (or 4745 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 133436408 is about 11551.4677855241. The cubic root of 133436408 is about 511.0045661692.

The spelling of 133436408 in words is "one hundred thirty-three million, four hundred thirty-six thousand, four hundred eight".