146461896 has 96 divisors (see below), whose sum is σ = 461972160. Its totient is φ = 41049216.

The previous prime is 146461867. The next prime is 146461927. The reversal of 146461896 is 698164641.

146461896 is a `hidden beast` number, since 1 + 464 + 6 + 189 + 6 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 23971 + ... + 29453.

It is an arithmetic number, because the mean of its divisors is an integer number (4812210).

Almost surely, 2^146461896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146461896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230986080).

146461896 is an abundant number, since it is smaller than the sum of its proper divisors (315510264).

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

146461896 is a wasteful number, since it uses less digits than its factorization.

146461896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5555 (or 5548 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 146461896 is about 12102.1442728138. The cubic root of 146461896 is about 527.1184497794.

The spelling of 146461896 in words is "one hundred forty-six million, four hundred sixty-one thousand, eight hundred ninety-six".