1345251840 has 160 divisors (see below), whose sum is σ = 4342757760. Its totient is φ = 355221504.

The previous prime is 1345251833. The next prime is 1345251841. The reversal of 1345251840 is 481525431.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (1345251841) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 836317 + ... + 837923.

It is an arithmetic number, because the mean of its divisors is an integer number (27142236).

Almost surely, 2^1345251840 is an apocalyptic number.

1345251840 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 1345251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2171378880).

1345251840 is an abundant number, since it is smaller than the sum of its proper divisors (2997505920).

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

1345251840 is a wasteful number, since it uses less digits than its factorization.

1345251840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 1345251840 is about 36677.6749535736. The cubic root of 1345251840 is about 1103.9121963356.

The spelling of 1345251840 in words is "one billion, three hundred forty-five million, two hundred fifty-one thousand, eight hundred forty".