132114431355345 has 32 divisors (see below), whose sum is σ = 234871538778240. Its totient is φ = 70460598479040.

The previous prime is 132114431355343. The next prime is 132114431355419. The reversal of 132114431355345 is 543553134411231.

It is a happy number.

132114431355345 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 1 + 4 + 43 + 13 + 553 + 45 = 666.

It is not a de Polignac number, because 132114431355345 - 2¹ = 132114431355343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 132114431355345.

It is not an unprimeable number, because it can be changed into a prime (132114431355343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19763007 + ... + 25589163.

It is an arithmetic number, because the mean of its divisors is an integer number (7339735586820).

Almost surely, 2^{132114431355345} is an apocalyptic number.

132114431355345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132114431355345 is a deficient number, since it is larger than the sum of its proper divisors (102757107422895).

132114431355345 is a wasteful number, since it uses less digits than its factorization.

132114431355345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5994142 (or 5994136 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

Adding to 132114431355345 its reverse (543553134411231), we get a palindrome (675667565766576).

The spelling of 132114431355345 in words is "one hundred thirty-two trillion, one hundred fourteen billion, four hundred thirty-one million, three hundred fifty-five thousand, three hundred forty-five".