1338153300 has 216 divisors, whose sum is σ = 4845439872. Its totient is φ = 305280000.

The previous prime is 1338153281. The next prime is 1338153301. The reversal of 1338153300 is 33518331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338153301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 164325 + ... + 172275.

It is an arithmetic number, because the mean of its divisors is an integer number (22432592).

Almost surely, 2^1338153300 is an apocalyptic number.

1338153300 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 1338153300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422719936).

1338153300 is an abundant number, since it is smaller than the sum of its proper divisors (3507286572).

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

1338153300 is a wasteful number, since it uses less digits than its factorization.

1338153300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7999 (or 7989 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1338153300 is about 36580.7777391351. Note that the first 4 decimals coincide. The cubic root of 1338153300 is about 1101.9670863015.

The spelling of 1338153300 in words is "one billion, three hundred thirty-eight million, one hundred fifty-three thousand, three hundred".