133429590 has 192 divisors, whose sum is σ = 425917440. Its totient is φ = 28304640.

The previous prime is 133429579. The next prime is 133429591. The reversal of 133429590 is 95924331.

It is a happy number.

133429590 is a `hidden beast` number, since 13 + 34 + 29 + 590 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133429591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 849792 + ... + 849948.

It is an arithmetic number, because the mean of its divisors is an integer number (2218320).

Almost surely, 2^133429590 is an apocalyptic number.

133429590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133429590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212958720).

133429590 is an abundant number, since it is smaller than the sum of its proper divisors (292487850).

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

133429590 is a wasteful number, since it uses less digits than its factorization.

133429590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 133429590 is about 11551.1726677424. The cubic root of 133429590 is about 510.9958626764.

The spelling of 133429590 in words is "one hundred thirty-three million, four hundred twenty-nine thousand, five hundred ninety".