36135424 has 80 divisors (see below), whose sum is σ = 79916760. Its totient is φ = 16220160.

The previous prime is 36135419. The next prime is 36135427. The reversal of 36135424 is 42453163.

It can be written as a sum of positive squares in 4 ways, for example, as 8761600 + 27373824 = 2960^2 + 5232^2 .

It is a junction number, because it is equal to n+sod(n) for n = 36135392 and 36135401.

It is not an unprimeable number, because it can be changed into a prime (36135427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 405972 + ... + 406060.

Almost surely, 2^36135424 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 36135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39958380).

36135424 is an abundant number, since it is smaller than the sum of its proper divisors (43781336).

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

36135424 is an equidigital number, since it uses as much as digits as its factorization.

36135424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 165 counting only the distinct ones).

The product of its digits is 8640, while the sum is 28.

The square root of 36135424 is about 6011.2747400198. The cubic root of 36135424 is about 330.6062440180.

Adding to 36135424 its reverse (42453163), we get a palindrome (78588587).

It can be divided in two parts, 36 and 135424, that multiplied together give a square (4875264 = 2208²).

The spelling of 36135424 in words is "thirty-six million, one hundred thirty-five thousand, four hundred twenty-four".