135132840 has 128 divisors (see below), whose sum is σ = 453340800. Its totient is φ = 35804160.

The previous prime is 135132839. The next prime is 135132841. The reversal of 135132840 is 48231531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (135132839) and next prime (135132841).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135132841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227584 + ... + 228176.

It is an arithmetic number, because the mean of its divisors is an integer number (3541725).

Almost surely, 2^135132840 is an apocalyptic number.

135132840 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 135132840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226670400).

135132840 is an abundant number, since it is smaller than the sum of its proper divisors (318207960).

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

135132840 is a wasteful number, since it uses less digits than its factorization.

135132840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 135132840 is about 11624.6651564679. The cubic root of 135132840 is about 513.1609904765.

It can be divided in two parts, 1351 and 32840, that added together give a triangular number (34191 = T₂₆₁).

The spelling of 135132840 in words is "one hundred thirty-five million, one hundred thirty-two thousand, eight hundred forty".