162146000 has 160 divisors (see below), whose sum is σ = 438721920. Its totient is φ = 57600000.

The previous prime is 162145993. The next prime is 162146003. The reversal of 162146000 is 641261.

It is a happy number.

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 (162146003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 645875 + ... + 646125.

It is an arithmetic number, because the mean of its divisors is an integer number (2742012).

Almost surely, 2^162146000 is an apocalyptic number.

162146000 is a gapful number since it is divisible by the number (10) 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 162146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219360960).

162146000 is an abundant number, since it is smaller than the sum of its proper divisors (276575920).

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

162146000 is a wasteful number, since it uses less digits than its factorization.

162146000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 162146000 is about 12733.6561913694. The cubic root of 162146000 is about 545.2998938665.

Adding to 162146000 its reverse (641261), we get a palindrome (162787261).

The spelling of 162146000 in words is "one hundred sixty-two million, one hundred forty-six thousand".