133205146015560 has 128 divisors (see below), whose sum is σ = 403158393348480. Its totient is φ = 35207249430528.

The previous prime is 133205146015553. The next prime is 133205146015561. The reversal of 133205146015560 is 65510641502331.

It is a happy number.

It is a super-2 number, since 2×133205146015560² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133205146015561) by changing a digit.

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, 4270374 + ... + 16871466.

It is an arithmetic number, because the mean of its divisors is an integer number (3149674948035).

Almost surely, 2^{133205146015560} is an apocalyptic number.

133205146015560 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 133205146015560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201579196674240).

133205146015560 is an abundant number, since it is smaller than the sum of its proper divisors (269953247332920).

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

133205146015560 is a wasteful number, since it uses less digits than its factorization.

133205146015560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12601887 (or 12601883 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

Adding to 133205146015560 its reverse (65510641502331), we get a palindrome (198715787517891).

The spelling of 133205146015560 in words is "one hundred thirty-three trillion, two hundred five billion, one hundred forty-six million, fifteen thousand, five hundred sixty".