132813654240105 has 80 divisors (see below), whose sum is σ = 238294288702800. Its totient is φ = 70770449502720.

The previous prime is 132813654240019. The next prime is 132813654240119. The reversal of 132813654240105 is 501042456318231.

132813654240105 is a `hidden beast` number, since 1 + 3 + 28 + 1 + 36 + 542 + 40 + 10 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 500465694096 + 132313188546009 = 707436^2 + 11502747^2 .

It is not a de Polignac number, because 132813654240105 - 2⁷ = 132813654239977 is a prime.

It is a super-2 number, since 2×132813654240105² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2420531611 + ... + 2420586479.

It is an arithmetic number, because the mean of its divisors is an integer number (2978678608785).

Almost surely, 2^{132813654240105} is an apocalyptic number.

132813654240105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132813654240105 is a deficient number, since it is larger than the sum of its proper divisors (105480634462695).

132813654240105 is a wasteful number, since it uses less digits than its factorization.

132813654240105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60136 (or 60127 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 132813654240105 in words is "one hundred thirty-two trillion, eight hundred thirteen billion, six hundred fifty-four million, two hundred forty thousand, one hundred five".