133414403440140 has 72 divisors (see below), whose sum is σ = 404710484920560. Its totient is φ = 35575404772224.

The previous prime is 133414403440133. The next prime is 133414403440147. The reversal of 133414403440140 is 41044304414331.

133414403440140 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 1 + 440 + 34 + 40 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (133414403440133) and next prime (133414403440147).

It is a super-3 number, since 3×133414403440140³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 133414403440095 and 133414403440104.

It is not an unprimeable number, because it can be changed into a prime (133414403440147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14800950 + ... + 22043069.

It is an arithmetic number, because the mean of its divisors is an integer number (5620978957230).

Almost surely, 2^{133414403440140} is an apocalyptic number.

133414403440140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133414403440140 is an abundant number, since it is smaller than the sum of its proper divisors (271296081480420).

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

133414403440140 is a wasteful number, since it uses less digits than its factorization.

133414403440140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36864151 (or 36864146 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 133414403440140 its reverse (41044304414331), we get a palindrome (174458707854471).

The spelling of 133414403440140 in words is "one hundred thirty-three trillion, four hundred fourteen billion, four hundred three million, four hundred forty thousand, one hundred forty".