146199312 has 120 divisors (see below), whose sum is σ = 478622144. Its totient is φ = 40787712.

The previous prime is 146199259. The next prime is 146199329. The reversal of 146199312 is 213991641.

It is a happy number.

146199312 is a `hidden beast` number, since 1 + 4 + 619 + 9 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41658 + ... + 45030.

Almost surely, 2^146199312 is an apocalyptic number.

146199312 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 146199312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239311072).

146199312 is an abundant number, since it is smaller than the sum of its proper divisors (332422832).

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

146199312 is a wasteful number, since it uses less digits than its factorization.

146199312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3437 (or 3428 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 146199312 is about 12091.2907499572. The cubic root of 146199312 is about 526.8032468152.

The spelling of 146199312 in words is "one hundred forty-six million, one hundred ninety-nine thousand, three hundred twelve".