146987568 has 160 divisors (see below), whose sum is σ = 519411200. Its totient is φ = 38755584.

The previous prime is 146987563. The next prime is 146987579. The reversal of 146987568 is 865789641.

146987568 is a `hidden beast` number, since 14 + 69 + 8 + 7 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (146987563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37443 + ... + 41181.

It is an arithmetic number, because the mean of its divisors is an integer number (3246320).

Almost surely, 2^146987568 is an apocalyptic number.

146987568 is a gapful number since it is divisible by the number (18) 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 146987568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259705600).

146987568 is an abundant number, since it is smaller than the sum of its proper divisors (372423632).

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

146987568 is a wasteful number, since it uses less digits than its factorization.

146987568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776 (or 3764 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 146987568 is about 12123.8429551030. The cubic root of 146987568 is about 527.7483304748.

The spelling of 146987568 in words is "one hundred forty-six million, nine hundred eighty-seven thousand, five hundred sixty-eight".