36135150 has 96 divisors (see below), whose sum is σ = 97612800. Its totient is φ = 8812800.

The previous prime is 36135109. The next prime is 36135161. The reversal of 36135150 is 5153163.

36135150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 36135150.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 88146 + ... + 88554.

It is an arithmetic number, because the mean of its divisors is an integer number (1016800).

Almost surely, 2^36135150 is an apocalyptic number.

36135150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36135150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48806400).

36135150 is an abundant number, since it is smaller than the sum of its proper divisors (61477650).

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

36135150 is a wasteful number, since it uses less digits than its factorization.

36135150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 36135150 is about 6011.2519494694. The cubic root of 36135150 is about 330.6054083991.

It can be divided in two parts, 361 and 35150, that added together give a triangular number (35511 = T₂₆₆).

The spelling of 36135150 in words is "thirty-six million, one hundred thirty-five thousand, one hundred fifty".