36146000 has 160 divisors (see below), whose sum is σ = 100279296. Its totient is φ = 12480000.

The previous prime is 36145997. The next prime is 36146009. The reversal of 36146000 is 64163.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36146009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 681974 + ... + 682026.

Almost surely, 2^36146000 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 36146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50139648).

36146000 is an abundant number, since it is smaller than the sum of its proper divisors (64133296).

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

36146000 is a wasteful number, since it uses less digits than its factorization.

36146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 36146000 is about 6012.1543559692. The cubic root of 36146000 is about 330.6384944636.

The spelling of 36146000 in words is "thirty-six million, one hundred forty-six thousand".