146341728 has 240 divisors, whose sum is σ = 478968336. Its totient is φ = 43545600.

The previous prime is 146341703. The next prime is 146341739. The reversal of 146341728 is 827143641.

146341728 is a `hidden beast` number, since 1 + 4 + 634 + 17 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 146341692 and 146341701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1448878 + ... + 1448978.

Almost surely, 2^146341728 is an apocalyptic number.

146341728 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 146341728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239484168).

146341728 is an abundant number, since it is smaller than the sum of its proper divisors (332626608).

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

146341728 is a wasteful number, since it uses less digits than its factorization.

146341728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 162 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 146341728 is about 12097.1785140172. The cubic root of 146341728 is about 526.9742482199.

The spelling of 146341728 in words is "one hundred forty-six million, three hundred forty-one thousand, seven hundred twenty-eight".