36141000 has 128 divisors (see below), whose sum is σ = 128943360. Its totient is φ = 8256000.

The previous prime is 36140977. The next prime is 36141013. The reversal of 36141000 is 14163.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20140 + ... + 21860.

It is an arithmetic number, because the mean of its divisors is an integer number (1007370).

Almost surely, 2^36141000 is an apocalyptic number.

36141000 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 36141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64471680).

36141000 is an abundant number, since it is smaller than the sum of its proper divisors (92802360).

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

36141000 is a wasteful number, since it uses less digits than its factorization.

36141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 36141000 is about 6011.7385172677. The cubic root of 36141000 is about 330.6232482519.

Adding to 36141000 its reverse (14163), we get a palindrome (36155163).

The spelling of 36141000 in words is "thirty-six million, one hundred forty-one thousand".