146161512 has 144 divisors (see below), whose sum is σ = 487770660. Its totient is φ = 39287808.

The previous prime is 146161511. The next prime is 146161513. The reversal of 146161512 is 215161641.

146161512 is a `hidden beast` number, since 1 + 46 + 1 + 615 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (146161511) and next prime (146161513).

It can be written as a sum of positive squares in 2 ways, for example, as 122014116 + 24147396 = 11046^2 + 4914^2 .

It is a super-3 number, since 3×146161512³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (146161511) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58758 + ... + 61194.

Almost surely, 2^146161512 is an apocalyptic number.

146161512 is a gapful number since it is divisible by the number (12) 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 146161512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243885330).

146161512 is an abundant number, since it is smaller than the sum of its proper divisors (341609148).

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

146161512 is a wasteful number, since it uses less digits than its factorization.

146161512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480 (or 2466 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 146161512 is about 12089.7275403542. The cubic root of 146161512 is about 526.7578410403.

The spelling of 146161512 in words is "one hundred forty-six million, one hundred sixty-one thousand, five hundred twelve".