132135120 has 240 divisors, whose sum is σ = 503717760. Its totient is φ = 30772224.

The previous prime is 132135109. The next prime is 132135121. The reversal of 132135120 is 21531231.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 132135093 and 132135102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132135121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177469 + ... + 178211.

It is an arithmetic number, because the mean of its divisors is an integer number (2098824).

Almost surely, 2^132135120 is an apocalyptic number.

132135120 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 132135120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251858880).

132135120 is an abundant number, since it is smaller than the sum of its proper divisors (371582640).

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

132135120 is a wasteful number, since it uses less digits than its factorization.

132135120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 132135120 is about 11495.0041322307. The cubic root of 132135120 is about 509.3380107633.

Adding to 132135120 its reverse (21531231), we get a palindrome (153666351).

The spelling of 132135120 in words is "one hundred thirty-two million, one hundred thirty-five thousand, one hundred twenty".