1345152000 has 352 divisors, whose sum is σ = 4659692544. Its totient is φ = 344064000.

The previous prime is 1345151993. The next prime is 1345152001. The reversal of 1345152000 is 2515431.

It is not an unprimeable number, because it can be changed into a prime (1345152001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11903944 + ... + 11904056.

Almost surely, 2^1345152000 is an apocalyptic number.

1345152000 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 1345152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329846272).

1345152000 is an abundant number, since it is smaller than the sum of its proper divisors (3314540544).

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

1345152000 is a wasteful number, since it uses less digits than its factorization.

1345152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 1345152000 is about 36676.3138823955. The cubic root of 1345152000 is about 1103.8848861282.

Adding to 1345152000 its reverse (2515431), we get a palindrome (1347667431).

The spelling of 1345152000 in words is "one billion, three hundred forty-five million, one hundred fifty-two thousand".