132135640 has 128 divisors (see below), whose sum is σ = 378040320. Its totient is φ = 40435200.

The previous prime is 132135607. The next prime is 132135673. The reversal of 132135640 is 46531231.

132135640 = 2961² + 2962² + ... + 2975².

It is an interprime number because it is at equal distance from previous prime (132135607) and next prime (132135673).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112255 + ... + 113425.

It is an arithmetic number, because the mean of its divisors is an integer number (2953440).

Almost surely, 2^132135640 is an apocalyptic number.

132135640 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 132135640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189020160).

132135640 is an abundant number, since it is smaller than the sum of its proper divisors (245904680).

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

132135640 is a wasteful number, since it uses less digits than its factorization.

132135640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 132135640 is about 11495.0267507301. The cubic root of 132135640 is about 509.3386789062.

Adding to 132135640 its reverse (46531231), we get a palindrome (178666871).

The spelling of 132135640 in words is "one hundred thirty-two million, one hundred thirty-five thousand, six hundred forty".