133023524613364 has 288 divisors, whose sum is σ = 310938254928000. Its totient is φ = 49167382118400.

The previous prime is 133023524613361. The next prime is 133023524613391. The reversal of 133023524613364 is 463316425320331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133023524613361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8414409492 + ... + 8414425300.

It is an arithmetic number, because the mean of its divisors is an integer number (1079646718500).

Almost surely, 2^{133023524613364} is an apocalyptic number.

133023524613364 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 133023524613364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155469127464000).

133023524613364 is an abundant number, since it is smaller than the sum of its proper divisors (177914730314636).

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

133023524613364 is a wasteful number, since it uses less digits than its factorization.

133023524613364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18207 (or 18198 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 46.

Adding to 133023524613364 its reverse (463316425320331), we get a palindrome (596339949933695).

The spelling of 133023524613364 in words is "one hundred thirty-three trillion, twenty-three billion, five hundred twenty-four million, six hundred thirteen thousand, three hundred sixty-four".