133426118546784 has 576 divisors, whose sum is σ = 458144991682560. Its totient is φ = 35982103772160.

The previous prime is 133426118546741. The next prime is 133426118546869. The reversal of 133426118546784 is 487645811624331.

133426118546784 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 2 + 6 + 1 + 1 + 8 + 546 + 7 + 84 = 666.

It is a super-2 number, since 2×133426118546784² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11796132489 + ... + 11796143799.

It is an arithmetic number, because the mean of its divisors is an integer number (795390610560).

Almost surely, 2^{133426118546784} is an apocalyptic number.

133426118546784 is a gapful number since it is divisible by the number (14) 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 133426118546784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229072495841280).

133426118546784 is an abundant number, since it is smaller than the sum of its proper divisors (324718873135776).

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

133426118546784 is a wasteful number, since it uses less digits than its factorization.

133426118546784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12463 (or 12452 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 133426118546784 in words is "one hundred thirty-three trillion, four hundred twenty-six billion, one hundred eighteen million, five hundred forty-six thousand, seven hundred eighty-four".