132203016 has 160 divisors (see below), whose sum is σ = 428107680. Its totient is φ = 37670400.

The previous prime is 132202997. The next prime is 132203017. The reversal of 132203016 is 610302231.

132203016 = 190³ + 191³ + ... + 206³.

It is a super-4 number, since 4×132203016⁴ (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 132203016.

It is not an unprimeable number, because it can be changed into a prime (132203017) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 120631 + ... + 121721.

It is an arithmetic number, because the mean of its divisors is an integer number (2675673).

Almost surely, 2^132203016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132203016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214053840).

132203016 is an abundant number, since it is smaller than the sum of its proper divisors (295904664).

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

132203016 is a wasteful number, since it uses less digits than its factorization.

132203016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 132203016 is about 11497.9570359260. The cubic root of 132203016 is about 509.4252348414.

Adding to 132203016 its reverse (610302231), we get a palindrome (742505247).

The spelling of 132203016 in words is "one hundred thirty-two million, two hundred three thousand, sixteen".