146782720 has 80 divisors (see below), whose sum is σ = 402259968. Its totient is φ = 50319360.

The previous prime is 146782697. The next prime is 146782763. The reversal of 146782720 is 27287641.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 146782720.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13825 + ... + 22015.

Almost surely, 2^146782720 is an apocalyptic number.

146782720 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 146782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201129984).

146782720 is an abundant number, since it is smaller than the sum of its proper divisors (255477248).

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

146782720 is an frugal number, since it uses more digits than its factorization.

146782720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8221 (or 8205 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 146782720 is about 12115.3918632457. The cubic root of 146782720 is about 527.5030524744.

The spelling of 146782720 in words is "one hundred forty-six million, seven hundred eighty-two thousand, seven hundred twenty".