36135720 has 160 divisors (see below), whose sum is σ = 128066400. Its totient is φ = 9113472.

The previous prime is 36135709. The next prime is 36135731. The reversal of 36135720 is 2753163.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36135709) and next prime (36135731).

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 61267 + ... + 61853.

It is an arithmetic number, because the mean of its divisors is an integer number (800415).

Almost surely, 2^36135720 is an apocalyptic number.

36135720 is a gapful number since it is divisible by the number (30) 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 36135720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64033200).

36135720 is an abundant number, since it is smaller than the sum of its proper divisors (91930680).

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

36135720 is a wasteful number, since it uses less digits than its factorization.

36135720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 36135720 is about 6011.2993603713. The cubic root of 36135720 is about 330.6071467258.

Adding to 36135720 its reverse (2753163), we get a palindrome (38888883).

The spelling of 36135720 in words is "thirty-six million, one hundred thirty-five thousand, seven hundred twenty".