132717216 has 48 divisors (see below), whose sum is σ = 349272000. Its totient is φ = 44126208.

The previous prime is 132717209. The next prime is 132717217. The reversal of 132717216 is 612717231.

132717216 = 304² + 305² + ... + 752².

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×132717216² = 35227718845581312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132717217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41565 + ... + 44643.

It is an arithmetic number, because the mean of its divisors is an integer number (7276500).

Almost surely, 2^132717216 is an apocalyptic number.

132717216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132717216 is an abundant number, since it is smaller than the sum of its proper divisors (216554784).

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

132717216 is a wasteful number, since it uses less digits than its factorization.

132717216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541 (or 3533 counting only the distinct ones).

The product of its digits is 3528, while the sum is 30.

The square root of 132717216 is about 11520.2958295349. The cubic root of 132717216 is about 510.0848455533.

The spelling of 132717216 in words is "one hundred thirty-two million, seven hundred seventeen thousand, two hundred sixteen".