133040000412 has 144 divisors (see below), whose sum is σ = 386767809792. Its totient is φ = 38164515840.

The previous prime is 133040000381. The next prime is 133040000413. The reversal of 133040000412 is 214000040331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133040000413) 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 47 ways as a sum of consecutive naturals, for example, 808183 + ... + 958769.

It is an arithmetic number, because the mean of its divisors is an integer number (2685887568).

Almost surely, 2^133040000412 is an apocalyptic number.

133040000412 is a gapful number since it is divisible by the number (12) 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 133040000412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193383904896).

133040000412 is an abundant number, since it is smaller than the sum of its proper divisors (253727809380).

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

133040000412 is a wasteful number, since it uses less digits than its factorization.

133040000412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150728 (or 150723 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 133040000412 its reverse (214000040331), we get a palindrome (347040040743).

The spelling of 133040000412 in words is "one hundred thirty-three billion, forty million, four hundred twelve", and thus it is an aban number.