201159000 has 384 divisors, whose sum is σ = 809902080. Its totient is φ = 44064000.

The previous prime is 201158981. The next prime is 201159017. The reversal of 201159000 is 951102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 201159000 = 275³ + 565³ = 460³ + 470³.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1952949 + ... + 1953051.

It is an arithmetic number, because the mean of its divisors is an integer number (2109120).

Almost surely, 2^201159000 is an apocalyptic number.

201159000 is a gapful number since it is divisible by the number (20) 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 201159000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404951040).

201159000 is an abundant number, since it is smaller than the sum of its proper divisors (608743080).

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

201159000 is a wasteful number, since it uses less digits than its factorization.

201159000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 201159000 is about 14183.0532678969. The cubic root of 201159000 is about 585.9310180616.

It can be divided in two parts, 201 and 159000, that added together give a square (159201 = 399²).

The spelling of 201159000 in words is "two hundred one million, one hundred fifty-nine thousand".