146061000 has 96 divisors (see below), whose sum is σ = 493716600. Its totient is φ = 38947200.

The previous prime is 146060963. The next prime is 146061001. The reversal of 146061000 is 160641.

It can be written as a sum of positive squares in 4 ways, for example, as 87721956 + 58339044 = 9366^2 + 7638^2 .

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

It is not an unprimeable number, because it can be changed into a prime (146061001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 886 + ... + 17114.

Almost surely, 2^146061000 is an apocalyptic number.

146061000 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 146061000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246858300).

146061000 is an abundant number, since it is smaller than the sum of its proper divisors (347655600).

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

146061000 is a wasteful number, since it uses less digits than its factorization.

146061000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16256 (or 16239 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 146061000 is about 12085.5699079522. The cubic root of 146061000 is about 526.6370668262.

The spelling of 146061000 in words is "one hundred forty-six million, sixty-one thousand".