133613273405088 has 240 divisors, whose sum is σ = 395446889908224. Its totient is φ = 44255966215680.

The previous prime is 133613273405069. The next prime is 133613273405113. The reversal of 133613273405088 is 880504372316331.

133613273405088 is a `hidden beast` number, since 1 + 3 + 3 + 61 + 3 + 2 + 73 + 4 + 0 + 508 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 263246593 + ... + 263753663.

Almost surely, 2^{133613273405088} is an apocalyptic number.

133613273405088 is a gapful number since it is divisible by the number (18) 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 133613273405088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197723444954112).

133613273405088 is an abundant number, since it is smaller than the sum of its proper divisors (261833616503136).

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

133613273405088 is a wasteful number, since it uses less digits than its factorization.

133613273405088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507737 (or 507720 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 133613273405088 in words is "one hundred thirty-three trillion, six hundred thirteen billion, two hundred seventy-three million, four hundred five thousand, eighty-eight".