135428436 has 240 divisors, whose sum is σ = 432579840. Its totient is φ = 36391680.

The previous prime is 135428411. The next prime is 135428437. The reversal of 135428436 is 634824531.

135428436 is a `hidden beast` number, since 1 + 3 + 542 + 84 + 36 = 666.

It is a super-2 number, since 2×135428436² = 36681722554812192, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 135428436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135428437) 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 79 ways as a sum of consecutive naturals, for example, 1714245 + ... + 1714323.

It is an arithmetic number, because the mean of its divisors is an integer number (1802416).

Almost surely, 2^135428436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135428436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216289920).

135428436 is an abundant number, since it is smaller than the sum of its proper divisors (297151404).

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

135428436 is a wasteful number, since it uses less digits than its factorization.

135428436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 145 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 135428436 is about 11637.3723838330. The cubic root of 135428436 is about 513.5348888985.

The spelling of 135428436 in words is "one hundred thirty-five million, four hundred twenty-eight thousand, four hundred thirty-six".