132554016 has 288 divisors, whose sum is σ = 468840960. Its totient is φ = 36288000.

The previous prime is 132554003. The next prime is 132554027. The reversal of 132554016 is 610455231.

132554016 is a `hidden beast` number, since 1 + 3 + 255 + 401 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1312366 + ... + 1312466.

It is an arithmetic number, because the mean of its divisors is an integer number (1627920).

Almost surely, 2^132554016 is an apocalyptic number.

132554016 is a gapful number since it is divisible by the number (16) 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 132554016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234420480).

132554016 is an abundant number, since it is smaller than the sum of its proper divisors (336286944).

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

132554016 is a wasteful number, since it uses less digits than its factorization.

132554016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 132554016 is about 11513.2104992482. The cubic root of 132554016 is about 509.8756790397.

It can be divided in two parts, 13255 and 4016, that added together give a palindrome (17271).

The spelling of 132554016 in words is "one hundred thirty-two million, five hundred fifty-four thousand, sixteen".