133035840 has 168 divisors, whose sum is σ = 523036800. Its totient is φ = 30403584.

The previous prime is 133035827. The next prime is 133035869. The reversal of 133035840 is 48530331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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 23 ways as a sum of consecutive naturals, for example, 16861 + ... + 23459.

Almost surely, 2^133035840 is an apocalyptic number.

133035840 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 133035840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261518400).

133035840 is an abundant number, since it is smaller than the sum of its proper divisors (390000960).

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

133035840 is a wasteful number, since it uses less digits than its factorization.

133035840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6629 (or 6616 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 133035840 is about 11534.1163510691. The cubic root of 133035840 is about 510.4927187487.

The spelling of 133035840 in words is "one hundred thirty-three million, thirty-five thousand, eight hundred forty".