132042117376 has 81 divisors (see below), whose sum is σ = 285565978341. Its totient is φ = 60907631616.

The previous prime is 132042117373. The next prime is 132042117377. The reversal of 132042117376 is 673711240231.

The square root of 132042117376 is 363376.

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

It can be written as a sum of positive squares in only one way, i.e., 19532857600 + 112509259776 = 139760^2 + 335424^2 .

It is a super-2 number, since 2×132042117376² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132042117373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 75581335 + ... + 75583081.

Almost surely, 2^132042117376 is an apocalyptic number.

132042117376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

132042117376 is the 363376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132042117376

132042117376 is an abundant number, since it is smaller than the sum of its proper divisors (153523860965).

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

132042117376 is an frugal number, since it uses more digits than its factorization.

132042117376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3536 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The spelling of 132042117376 in words is "one hundred thirty-two billion, forty-two million, one hundred seventeen thousand, three hundred seventy-six".