132046436393316 has 243 divisors, whose sum is σ = 350982852428299. Its totient is φ = 43466316930432.

The previous prime is 132046436393167. The next prime is 132046436393323. The reversal of 132046436393316 is 613393634640231.

The square root of 132046436393316 is 11491146.

It is a perfect power (a square), and thus also a powerful number.

132046436393316 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 464 + 3 + 63 + 93 + 31 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15261757956900 + 116784678436416 = 3906630^2 + 10806696^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a super-2 number, since 2×132046436393316² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 165679342630 + ... + 165679343426.

Almost surely, 2^{132046436393316} is an apocalyptic number.

132046436393316 is the 11491146-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132046436393316

132046436393316 is an abundant number, since it is smaller than the sum of its proper divisors (218936416034983).

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

132046436393316 is an frugal number, since it uses more digits than its factorization.

132046436393316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 54.

The spelling of 132046436393316 in words is "one hundred thirty-two trillion, forty-six billion, four hundred thirty-six million, three hundred ninety-three thousand, three hundred sixteen".