162141000 has 192 divisors, whose sum is σ = 589006080. Its totient is φ = 37027200.

The previous prime is 162140981. The next prime is 162141011. The reversal of 162141000 is 141261.

162141000 = T₂₁₀ + T₂₁₁ + ... + T₉₉₃.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 146449 + ... + 147551.

It is an arithmetic number, because the mean of its divisors is an integer number (3067740).

Almost surely, 2^162141000 is an apocalyptic number.

162141000 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 162141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294503040).

162141000 is an abundant number, since it is smaller than the sum of its proper divisors (426865080).

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

162141000 is a wasteful number, since it uses less digits than its factorization.

162141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 162141000 is about 12733.4598597553. The cubic root of 162141000 is about 545.2942887792.

Adding to 162141000 its reverse (141261), we get a palindrome (162282261).

The spelling of 162141000 in words is "one hundred sixty-two million, one hundred forty-one thousand".