133242414012 has 72 divisors (see below), whose sum is σ = 341797856400. Its totient is φ = 43760590848.

The previous prime is 133242414007. The next prime is 133242414023. The reversal of 133242414012 is 210414242331.

133242414012 is a `hidden beast` number, since 1 + 3 + 3 + 242 + 414 + 0 + 1 + 2 = 666.

It is a super-2 number, since 2×133242414012² (a number of 23 digits) contains 22 as substring.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 607548 + ... + 797244.

It is an arithmetic number, because the mean of its divisors is an integer number (4747192450).

Almost surely, 2^133242414012 is an apocalyptic number.

133242414012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133242414012 is an abundant number, since it is smaller than the sum of its proper divisors (208555442388).

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

133242414012 is a wasteful number, since it uses less digits than its factorization.

133242414012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189995 (or 189990 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 133242414012 its reverse (210414242331), we get a palindrome (343656656343).

The spelling of 133242414012 in words is "one hundred thirty-three billion, two hundred forty-two million, four hundred fourteen thousand, twelve".