133552440 has 288 divisors, whose sum is σ = 516980880. Its totient is φ = 29804544.

The previous prime is 133552439. The next prime is 133552481. The reversal of 133552440 is 44255331.

133552440 is a `hidden beast` number, since 133 + 5 + 524 + 4 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 1181824 + ... + 1181936.

Almost surely, 2^133552440 is an apocalyptic number.

133552440 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 133552440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258490440).

133552440 is an abundant number, since it is smaller than the sum of its proper divisors (383428440).

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

133552440 is a wasteful number, since it uses less digits than its factorization.

133552440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 133552440 is about 11556.4890862234. The cubic root of 133552440 is about 511.1526409579.

The spelling of 133552440 in words is "one hundred thirty-three million, five hundred fifty-two thousand, four hundred forty".