1334153200 has 120 divisors (see below), whose sum is σ = 3503882880. Its totient is φ = 485990400.

The previous prime is 1334153179. The next prime is 1334153213. The reversal of 1334153200 is 23514331.

It is a super-2 number, since 2×1334153200² = 3559929522140480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207636 + ... + 213964.

It is an arithmetic number, because the mean of its divisors is an integer number (29199024).

Almost surely, 2^1334153200 is an apocalyptic number.

1334153200 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 1334153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751941440).

1334153200 is an abundant number, since it is smaller than the sum of its proper divisors (2169729680).

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

1334153200 is a wasteful number, since it uses less digits than its factorization.

1334153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6395 (or 6384 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 1334153200 is about 36526.0619284368. The cubic root of 1334153200 is about 1100.8679650818.

Adding to 1334153200 its reverse (23514331), we get a palindrome (1357667531).

The spelling of 1334153200 in words is "one billion, three hundred thirty-four million, one hundred fifty-three thousand, two hundred".