146981568 has 112 divisors (see below), whose sum is σ = 419323520. Its totient is φ = 45287424.

The previous prime is 146981557. The next prime is 146981581. The reversal of 146981568 is 865189641.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156396 + ... + 157332.

It is an arithmetic number, because the mean of its divisors is an integer number (3743960).

Almost surely, 2^146981568 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 146981568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209661760).

146981568 is an abundant number, since it is smaller than the sum of its proper divisors (272341952).

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

146981568 is a wasteful number, since it uses less digits than its factorization.

146981568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1004 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The square root of 146981568 is about 12123.5955062844. The cubic root of 146981568 is about 527.7411495204.

The spelling of 146981568 in words is "one hundred forty-six million, nine hundred eighty-one thousand, five hundred sixty-eight".