133042314400 has 36 divisors (see below), whose sum is σ = 324789551982. Its totient is φ = 53216925440.

The previous prime is 133042314397. The next prime is 133042314403. The reversal of 133042314400 is 4413240331.

It is an interprime number because it is at equal distance from previous prime (133042314397) and next prime (133042314403).

It can be written as a sum of positive squares in 3 ways, for example, as 112818061456 + 20224252944 = 335884^2 + 142212^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (133042314403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 83150647 + ... + 83152246.

Almost surely, 2^133042314400 is an apocalyptic number.

133042314400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133042314400 is an abundant number, since it is smaller than the sum of its proper divisors (191747237582).

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

133042314400 is a wasteful number, since it uses less digits than its factorization.

133042314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166302913 (or 166302900 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 133042314400 its reverse (4413240331), we get a palindrome (137455554731).

The spelling of 133042314400 in words is "one hundred thirty-three billion, forty-two million, three hundred fourteen thousand, four hundred".