146828160 has 256 divisors, whose sum is σ = 539784000. Its totient is φ = 37675008.

The previous prime is 146828153. The next prime is 146828191. The reversal of 146828160 is 61828641.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500974 + ... + 501266.

Almost surely, 2^146828160 is an apocalyptic number.

146828160 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 146828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269892000).

146828160 is an abundant number, since it is smaller than the sum of its proper divisors (392955840).

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

146828160 is a wasteful number, since it uses less digits than its factorization.

146828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 146828160 is about 12117.2670185979. The cubic root of 146828160 is about 527.5574804654.

The spelling of 146828160 in words is "one hundred forty-six million, eight hundred twenty-eight thousand, one hundred sixty".