233537990140520 has 128 divisors (see below), whose sum is σ = 584778790794240. Its totient is φ = 83355808389120.

The previous prime is 233537990140513. The next prime is 233537990140537. The reversal of 233537990140520 is 25041099735332.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6634364 + ... + 22607316.

It is an arithmetic number, because the mean of its divisors is an integer number (4568584303080).

Almost surely, 2^{233537990140520} is an apocalyptic number.

233537990140520 is a gapful number since it is divisible by the number (20) 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 233537990140520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292389395397120).

233537990140520 is an abundant number, since it is smaller than the sum of its proper divisors (351240800653720).

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

233537990140520 is a wasteful number, since it uses less digits than its factorization.

233537990140520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15973915 (or 15973911 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 53.

The spelling of 233537990140520 in words is "two hundred thirty-three trillion, five hundred thirty-seven billion, nine hundred ninety million, one hundred forty thousand, five hundred twenty".