36145008 has 80 divisors (see below), whose sum is σ = 107136000. Its totient is φ = 11655360.

The previous prime is 36145007. The next prime is 36145019. The reversal of 36145008 is 80054163.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36145007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12043 + ... + 14741.

It is an arithmetic number, because the mean of its divisors is an integer number (1339200).

Almost surely, 2^36145008 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 36145008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53568000).

36145008 is an abundant number, since it is smaller than the sum of its proper divisors (70990992).

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

36145008 is a wasteful number, since it uses less digits than its factorization.

36145008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 36145008 is about 6012.0718558580. The cubic root of 36145008 is about 330.6354697270.

It can be divided in two parts, 361 and 45008, that added together give a square (45369 = 213²).

The spelling of 36145008 in words is "thirty-six million, one hundred forty-five thousand, eight".