153800000 has 84 divisors (see below), whose sum is σ = 381967740. Its totient is φ = 61440000.

The previous prime is 153799967. The next prime is 153800047. The reversal of 153800000 is 8351.

It can be written as a sum of positive squares in 6 ways, for example, as 133079296 + 20720704 = 11536^2 + 4552^2 .

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 11 ways as a sum of consecutive naturals, for example, 199616 + ... + 200384.

It is an arithmetic number, because the mean of its divisors is an integer number (4547235).

Almost surely, 2^153800000 is an apocalyptic number.

153800000 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 153800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190983870).

153800000 is an abundant number, since it is smaller than the sum of its proper divisors (228167740).

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

153800000 is an frugal number, since it uses more digits than its factorization.

153800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 153800000 is about 12401.6127983420. The cubic root of 153800000 is about 535.7787012489.

Adding to 153800000 its reverse (8351), we get a palindrome (153808351).

The spelling of 153800000 in words is "one hundred fifty-three million, eight hundred thousand".