117133632 has 336 divisors, whose sum is σ = 443788800. Its totient is φ = 28615680.

The previous prime is 117133619. The next prime is 117133637. The reversal of 117133632 is 236331711.

117133632 is a `hidden beast` number, since 1 + 17 + 13 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×117133632² = 27440575491022848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 117133596 and 117133605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117133637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 842619 + ... + 842757.

It is an arithmetic number, because the mean of its divisors is an integer number (1320800).

Almost surely, 2^117133632 is an apocalyptic number.

117133632 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 117133632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221894400).

117133632 is an abundant number, since it is smaller than the sum of its proper divisors (326655168).

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

117133632 is a wasteful number, since it uses less digits than its factorization.

117133632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 181 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 117133632 is about 10822.8292049722. The cubic root of 117133632 is about 489.2834619332.

The spelling of 117133632 in words is "one hundred seventeen million, one hundred thirty-three thousand, six hundred thirty-two".