146720800 has 72 divisors (see below), whose sum is σ = 360141012. Its totient is φ = 58368000.

The previous prime is 146720797. The next prime is 146720807. The reversal of 146720800 is 8027641.

It can be written as a sum of positive squares in 6 ways, for example, as 23155344 + 123565456 = 4812^2 + 11116^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (146720807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192420 + ... + 193180.

Almost surely, 2^146720800 is an apocalyptic number.

146720800 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 146720800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180070506).

146720800 is an abundant number, since it is smaller than the sum of its proper divisors (213420212).

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

146720800 is a wasteful number, since it uses less digits than its factorization.

146720800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 146720800 is about 12112.8361666457. The cubic root of 146720800 is about 527.4288666687.

The spelling of 146720800 in words is "one hundred forty-six million, seven hundred twenty thousand, eight hundred".