153300800 has 42 divisors (see below), whose sum is σ = 377219718. Its totient is φ = 61319680.

The previous prime is 153300779. The next prime is 153300839. The reversal of 153300800 is 8003351.

It can be written as a sum of positive squares in 3 ways, for example, as 135424 + 153165376 = 368^2 + 12376^2 .

It is a super-2 number, since 2×153300800² = 47002270561280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 46307 + ... + 49506.

Almost surely, 2^153300800 is an apocalyptic number.

153300800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153300800 is an abundant number, since it is smaller than the sum of its proper divisors (223918918).

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

153300800 is an equidigital number, since it uses as much as digits as its factorization.

153300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95835 (or 95820 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 153300800 is about 12381.4700258087. The cubic root of 153300800 is about 535.1984008091.

The spelling of 153300800 in words is "one hundred fifty-three million, three hundred thousand, eight hundred".