146805520 has 40 divisors (see below), whose sum is σ = 344721240. Its totient is φ = 58137600.

The previous prime is 146805517. The next prime is 146805539. The reversal of 146805520 is 25508641.

It can be written as a sum of positive squares in 4 ways, for example, as 24127744 + 122677776 = 4912^2 + 11076^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1005 + ... + 17164.

It is an arithmetic number, because the mean of its divisors is an integer number (8618031).

Almost surely, 2^146805520 is an apocalyptic number.

146805520 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 146805520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172360620).

146805520 is an abundant number, since it is smaller than the sum of its proper divisors (197915720).

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

146805520 is a wasteful number, since it uses less digits than its factorization.

146805520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18283 (or 18277 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 146805520 is about 12116.3327785267. The cubic root of 146805520 is about 527.5303636977.

The spelling of 146805520 in words is "one hundred forty-six million, eight hundred five thousand, five hundred twenty".