132093834297264 has 600 divisors, whose sum is σ = 451762457271840. Its totient is φ = 36501123778560.

The previous prime is 132093834297241. The next prime is 132093834297289. The reversal of 132093834297264 is 462792438390231.

It is a happy number.

132093834297264 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 9 + 3 + 83 + 4 + 297 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18212299462 + ... + 18212306714.

Almost surely, 2^{132093834297264} is an apocalyptic number.

132093834297264 is a gapful number since it is divisible by the number (14) 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 132093834297264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225881228635920).

132093834297264 is an abundant number, since it is smaller than the sum of its proper divisors (319668622974576).

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

132093834297264 is a wasteful number, since it uses less digits than its factorization.

132093834297264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9431 (or 9385 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 132093834297264 in words is "one hundred thirty-two trillion, ninety-three billion, eight hundred thirty-four million, two hundred ninety-seven thousand, two hundred sixty-four".