162009000 has 192 divisors, whose sum is σ = 560701440. Its totient is φ = 42172800.

The previous prime is 162008981. The next prime is 162009011. The reversal of 162009000 is 900261.

162009000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

162009000 is a nontrivial binomial coefficient, being equal to C(18001, 2).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422809 + ... + 423191.

It is an arithmetic number, because the mean of its divisors is an integer number (2920320).

Almost surely, 2^162009000 is an apocalyptic number.

162009000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

162009000 is the 18000-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162009000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280350720).

162009000 is an abundant number, since it is smaller than the sum of its proper divisors (398692440).

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

162009000 is a wasteful number, since it uses less digits than its factorization.

162009000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 162009000 is about 12728.2756098381. The cubic root of 162009000 is about 545.1462727771.

Adding to 162009000 its reverse (900261), we get a palindrome (162909261).

It can be divided in two parts, 16200 and 9000, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 162009000 in words is "one hundred sixty-two million, nine thousand".