133242422344400 has 60 divisors (see below), whose sum is σ = 323284374430764. Its totient is φ = 52769276160000.

The previous prime is 133242422344393. The next prime is 133242422344403. The reversal of 133242422344400 is 4443224242331.

It can be written as a sum of positive squares in 6 ways, for example, as 5033633267776 + 128208789076624 = 2243576^2 + 11322932^2 .

It is a super-2 number, since 2×133242422344400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133242422344403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1648999481 + ... + 1649080280.

Almost surely, 2^{133242422344400} is an apocalyptic number.

133242422344400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133242422344400 is an abundant number, since it is smaller than the sum of its proper divisors (190041952086364).

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

133242422344400 is a wasteful number, since it uses less digits than its factorization.

133242422344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3298079880 (or 3298079869 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 38.

Adding to 133242422344400 its reverse (4443224242331), we get a palindrome (137685646586731).

The spelling of 133242422344400 in words is "one hundred thirty-three trillion, two hundred forty-two billion, four hundred twenty-two million, three hundred forty-four thousand, four hundred".