133669440 has 224 divisors, whose sum is σ = 479877120. Its totient is φ = 35458560.

The previous prime is 133669433. The next prime is 133669441. The reversal of 133669440 is 44966331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 133669395 and 133669404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133669441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 699745 + ... + 699935.

Almost surely, 2^133669440 is an apocalyptic number.

133669440 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 133669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239938560).

133669440 is an abundant number, since it is smaller than the sum of its proper divisors (346207680).

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

133669440 is an frugal number, since it uses more digits than its factorization.

133669440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 133669440 is about 11561.5500690868. The cubic root of 133669440 is about 511.3018642474.

The spelling of 133669440 in words is "one hundred thirty-three million, six hundred sixty-nine thousand, four hundred forty".