132911712 has 96 divisors (see below), whose sum is σ = 410508000. Its totient is φ = 41693184.

The previous prime is 132911693. The next prime is 132911717. The reversal of 132911712 is 217119231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132911717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10164 + ... + 19212.

It is an arithmetic number, because the mean of its divisors is an integer number (4276125).

Almost surely, 2^132911712 is an apocalyptic number.

132911712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132911712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205254000).

132911712 is an abundant number, since it is smaller than the sum of its proper divisors (277596288).

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

132911712 is a wasteful number, since it uses less digits than its factorization.

132911712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9085 (or 9071 counting only the distinct ones).

The product of its digits is 756, while the sum is 27.

The square root of 132911712 is about 11528.7341889732. The cubic root of 132911712 is about 510.3338989944. Note that the first 3 decimals are identical.

It can be divided in two parts, 1329 and 11712, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 132911712 in words is "one hundred thirty-two million, nine hundred eleven thousand, seven hundred twelve".