36146144 has 48 divisors (see below), whose sum is σ = 73790640. Its totient is φ = 17418240.

The previous prime is 36146129. The next prime is 36146191. The reversal of 36146144 is 44164163.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149864 + ... + 150104.

It is an arithmetic number, because the mean of its divisors is an integer number (1537305).

Almost surely, 2^36146144 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 36146144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36895320).

36146144 is an abundant number, since it is smaller than the sum of its proper divisors (37644496).

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

36146144 is a wasteful number, since it uses less digits than its factorization.

36146144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 395 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 36146144 is about 6012.1663316978. The cubic root of 36146144 is about 330.6389335337.

The spelling of 36146144 in words is "thirty-six million, one hundred forty-six thousand, one hundred forty-four".