133539362880 has 2016 divisors, whose sum is σ = 614441687040. Its totient is φ = 24215224320.

The previous prime is 133539362857. The next prime is 133539362881. The reversal of 133539362880 is 88263935331.

It is a super-2 number, since 2×133539362880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (133539362881) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 2841263017 + ... + 2841263063.

Almost surely, 2^133539362880 is an apocalyptic number.

133539362880 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 133539362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307220843520).

133539362880 is an abundant number, since it is smaller than the sum of its proper divisors (480902324160).

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

133539362880 is a wasteful number, since it uses less digits than its factorization.

133539362880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 133539362880 in words is "one hundred thirty-three billion, five hundred thirty-nine million, three hundred sixty-two thousand, eight hundred eighty".