135188820 has 72 divisors (see below), whose sum is σ = 441624456. Its totient is φ = 33276672.

The previous prime is 135188813. The next prime is 135188827. The reversal of 135188820 is 28881531.

It is an interprime number because it is at equal distance from previous prime (135188813) and next prime (135188827).

It can be written as a sum of positive squares in 4 ways, for example, as 4955076 + 130233744 = 2226^2 + 11412^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135188827) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 26547 + ... + 31226.

It is an arithmetic number, because the mean of its divisors is an integer number (6133673).

Almost surely, 2^135188820 is an apocalyptic number.

135188820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135188820 is an abundant number, since it is smaller than the sum of its proper divisors (306435636).

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

135188820 is a wasteful number, since it uses less digits than its factorization.

135188820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57801 (or 57796 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 135188820 is about 11627.0727184447. The cubic root of 135188820 is about 513.2318412196.

The spelling of 135188820 in words is "one hundred thirty-five million, one hundred eighty-eight thousand, eight hundred twenty".