133705077888 has 256 divisors, whose sum is σ = 381093672960. Its totient is φ = 41433047040.

The previous prime is 133705077833. The next prime is 133705077889. The reversal of 133705077888 is 888770507331.

It is a happy number.

It is a super-2 number, since 2×133705077888² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133705077889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88487053 + ... + 88488563.

It is an arithmetic number, because the mean of its divisors is an integer number (1488647160).

Almost surely, 2^133705077888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133705077888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190546836480).

133705077888 is an abundant number, since it is smaller than the sum of its proper divisors (247388595072).

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

133705077888 is a wasteful number, since it uses less digits than its factorization.

133705077888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 57.

The spelling of 133705077888 in words is "one hundred thirty-three billion, seven hundred five million, seventy-seven thousand, eight hundred eighty-eight".