133145412112440 has 256 divisors, whose sum is σ = 546237588556800. Its totient is φ = 28092218798592.

The previous prime is 133145412112439. The next prime is 133145412112469. The reversal of 133145412112440 is 44211214541331.

133145412112440 is a `hidden beast` number, since 1 + 3 + 3 + 145 + 41 + 21 + 12 + 440 = 666.

It is a super-3 number, since 3×133145412112440³ (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 = 133145412112395 and 133145412112404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 677279682 + ... + 677476241.

It is an arithmetic number, because the mean of its divisors is an integer number (2133740580300).

Almost surely, 2^{133145412112440} is an apocalyptic number.

133145412112440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133145412112440 is an abundant number, since it is smaller than the sum of its proper divisors (413092176444360).

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

133145412112440 is a wasteful number, since it uses less digits than its factorization.

133145412112440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354755963 (or 1354755953 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 133145412112440 its reverse (44211214541331), we get a palindrome (177356626653771).

The spelling of 133145412112440 in words is "one hundred thirty-three trillion, one hundred forty-five billion, four hundred twelve million, one hundred twelve thousand, four hundred forty".