146377728 has 132 divisors (see below), whose sum is σ = 483255760. Its totient is φ = 41803776.

The previous prime is 146377709. The next prime is 146377733. The reversal of 146377728 is 827773641.

146377728 is a `hidden beast` number, since 1 + 4 + 637 + 7 + 7 + 2 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63378 + ... + 65646.

Almost surely, 2^146377728 is an apocalyptic number.

146377728 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 146377728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241627880).

146377728 is an abundant number, since it is smaller than the sum of its proper divisors (336878032).

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

146377728 is a wasteful number, since it uses less digits than its factorization.

146377728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2281 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 146377728 is about 12098.6663727867. Note that the first 3 decimals coincide. The cubic root of 146377728 is about 527.0174564872.

The spelling of 146377728 in words is "one hundred forty-six million, three hundred seventy-seven thousand, seven hundred twenty-eight".