133023345323064 has 256 divisors, whose sum is σ = 395330479718400. Its totient is φ = 36506684717568.

The previous prime is 133023345322997. The next prime is 133023345323107. The reversal of 133023345323064 is 460323543320331.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5797981177 + ... + 5798004119.

It is an arithmetic number, because the mean of its divisors is an integer number (1544259686400).

Almost surely, 2^{133023345323064} is an apocalyptic number.

133023345323064 is a gapful number since it is divisible by the number (14) 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 133023345323064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197665239859200).

133023345323064 is an abundant number, since it is smaller than the sum of its proper divisors (262307134395336).

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

133023345323064 is a wasteful number, since it uses less digits than its factorization.

133023345323064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34882 (or 34878 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 42.

Adding to 133023345323064 its reverse (460323543320331), we get a palindrome (593346888643395).

The spelling of 133023345323064 in words is "one hundred thirty-three trillion, twenty-three billion, three hundred forty-five million, three hundred twenty-three thousand, sixty-four".