133808411772 has 144 divisors (see below), whose sum is σ = 410637427200. Its totient is φ = 35886395520.

The previous prime is 133808411761. The next prime is 133808411773. The reversal of 133808411772 is 277114808331.

133808411772 is a `hidden beast` number, since 13 + 380 + 84 + 117 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133808411773) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 393697 + ... + 650087.

It is an arithmetic number, because the mean of its divisors is an integer number (2851648800).

Almost surely, 2^133808411772 is an apocalyptic number.

133808411772 is a gapful number since it is divisible by the number (12) 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 133808411772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205318713600).

133808411772 is an abundant number, since it is smaller than the sum of its proper divisors (276829015428).

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

133808411772 is a wasteful number, since it uses less digits than its factorization.

133808411772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256536 (or 256531 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 133808411772 in words is "one hundred thirty-three billion, eight hundred eight million, four hundred eleven thousand, seven hundred seventy-two".