146874560 has 336 divisors, whose sum is σ = 469087200. Its totient is φ = 43352064.

The previous prime is 146874551. The next prime is 146874569. The reversal of 146874560 is 65478641.

It is an interprime number because it is at equal distance from previous prime (146874551) and next prime (146874569).

It is not an unprimeable number, because it can be changed into a prime (146874569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5064626 + ... + 5064654.

Almost surely, 2^146874560 is an apocalyptic number.

146874560 is a gapful number since it is divisible by the number (10) 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 146874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234543600).

146874560 is an abundant number, since it is smaller than the sum of its proper divisors (322212640).

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

146874560 is a wasteful number, since it uses less digits than its factorization.

146874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 146874560 is about 12119.1814905133. The cubic root of 146874560 is about 527.6130467568.

The spelling of 146874560 in words is "one hundred forty-six million, eight hundred seventy-four thousand, five hundred sixty".