132162240 has 224 divisors, whose sum is σ = 488070144. Its totient is φ = 29675520.

The previous prime is 132162221. The next prime is 132162307. The reversal of 132162240 is 42261231.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 476982 + ... + 477258.

Almost surely, 2^132162240 is an apocalyptic number.

132162240 is a gapful number since it is divisible by the number (10) 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 132162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244035072).

132162240 is an abundant number, since it is smaller than the sum of its proper divisors (355907904).

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

132162240 is a wasteful number, since it uses less digits than its factorization.

132162240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 132162240 is about 11496.1837146072. The cubic root of 132162240 is about 509.3728546461.

The spelling of 132162240 in words is "one hundred thirty-two million, one hundred sixty-two thousand, two hundred forty".