36145368 has 96 divisors (see below), whose sum is σ = 115783200. Its totient is φ = 9967104.

The previous prime is 36145357. The next prime is 36145399. The reversal of 36145368 is 86354163.

36145368 is a `hidden beast` number, since 3 + 614 + 5 + 36 + 8 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 13380 + ... + 15852.

It is an arithmetic number, because the mean of its divisors is an integer number (1206075).

Almost surely, 2^36145368 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 36145368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57891600).

36145368 is an abundant number, since it is smaller than the sum of its proper divisors (79637832).

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

36145368 is a wasteful number, since it uses less digits than its factorization.

36145368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521 (or 2514 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 36145368 is about 6012.1017955454. The cubic root of 36145368 is about 330.6365674201.

The spelling of 36145368 in words is "thirty-six million, one hundred forty-five thousand, three hundred sixty-eight".