132794117352 has 144 divisors (see below), whose sum is σ = 396794218860. Its totient is φ = 40088595456.

The previous prime is 132794117329. The next prime is 132794117377. The reversal of 132794117352 is 253711497231.

132794117352 is a `hidden beast` number, since 13 + 279 + 4 + 1 + 17 + 352 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 27744232356 + 105049884996 = 166566^2 + 324114^2 .

It is a junction number, because it is equal to n+sod(n) for n = 132794117298 and 132794117307.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 541948 + ... + 747860.

Almost surely, 2^132794117352 is an apocalyptic number.

132794117352 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 132794117352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198397109430).

132794117352 is an abundant number, since it is smaller than the sum of its proper divisors (264000101508).

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

132794117352 is a wasteful number, since it uses less digits than its factorization.

132794117352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206004 (or 205984 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The spelling of 132794117352 in words is "one hundred thirty-two billion, seven hundred ninety-four million, one hundred seventeen thousand, three hundred fifty-two".