146974128 has 160 divisors (see below), whose sum is σ = 452352000. Its totient is φ = 41094144.

The previous prime is 146974111. The next prime is 146974147. The reversal of 146974128 is 821479641.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (96768) is a multiple of the sum of its prime factors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 146974128.

It is an unprimeable number.

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, 1300600 + ... + 1300712.

It is an arithmetic number, because the mean of its divisors is an integer number (2827200).

Almost surely, 2^146974128 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 146974128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226176000).

146974128 is an abundant number, since it is smaller than the sum of its proper divisors (305377872).

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

146974128 is a wasteful number, since it uses less digits than its factorization.

146974128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 204 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 146974128 is about 12123.2886627350. The cubic root of 146974128 is about 527.7322448655.

The spelling of 146974128 in words is "one hundred forty-six million, nine hundred seventy-four thousand, one hundred twenty-eight".