146361144 has 128 divisors (see below), whose sum is σ = 406425600. Its totient is φ = 43760640.

The previous prime is 146361133. The next prime is 146361157. The reversal of 146361144 is 441163641.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 656217 + ... + 656439.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2^146361144 is an apocalyptic number.

146361144 is the 6467-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146361144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203212800).

146361144 is an abundant number, since it is smaller than the sum of its proper divisors (260064456).

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

146361144 is a wasteful number, since it uses less digits than its factorization.

146361144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 321 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 146361144 is about 12097.9809885782. The cubic root of 146361144 is about 526.9975527589.

The spelling of 146361144 in words is "one hundred forty-six million, three hundred sixty-one thousand, one hundred forty-four".