146313792 has 84 divisors (see below), whose sum is σ = 421104060. Its totient is φ = 48571392.

The previous prime is 146313757. The next prime is 146313823. The reversal of 146313792 is 297313641.

146313792 is a `hidden beast` number, since 14 + 631 + 3 + 7 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34292736 + 112021056 = 5856^2 + 10584^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223738 + ... + 224390.

Almost surely, 2^146313792 is an apocalyptic number.

146313792 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 146313792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210552030).

146313792 is an abundant number, since it is smaller than the sum of its proper divisors (274790268).

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

146313792 is a wasteful number, since it uses less digits than its factorization.

146313792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1047 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 146313792 is about 12096.0238095004. The cubic root of 146313792 is about 526.9407137212.

The spelling of 146313792 in words is "one hundred forty-six million, three hundred thirteen thousand, seven hundred ninety-two".