133355077632 has 204 divisors, whose sum is σ = 440293703200. Its totient is φ = 38100271104.

The previous prime is 133355077553. The next prime is 133355077679. The reversal of 133355077632 is 236770553331.

133355077632 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 5 + 5 + 0 + 7 + 7 + 632 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4112619 + ... + 4144917.

Almost surely, 2^133355077632 is an apocalyptic number.

133355077632 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 133355077632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220146851600).

133355077632 is an abundant number, since it is smaller than the sum of its proper divisors (306938625568).

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

133355077632 is an frugal number, since it uses more digits than its factorization.

133355077632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32344 (or 32311 counting only the distinct ones).

The product of its (nonzero) digits is 1190700, while the sum is 45.

The spelling of 133355077632 in words is "one hundred thirty-three billion, three hundred fifty-five million, seventy-seven thousand, six hundred thirty-two".