1345797120 has 176 divisors, whose sum is σ = 4411497888. Its totient is φ = 349962240.

The previous prime is 1345797097. The next prime is 1345797143. The reversal of 1345797120 is 217975431.

It is an interprime number because it is at equal distance from previous prime (1345797097) and next prime (1345797143).

It is a super-2 number, since 2×1345797120² = 3622339776400588800, 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 628692 + ... + 630828.

Almost surely, 2^1345797120 is an apocalyptic number.

1345797120 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 1345797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205748944).

1345797120 is an abundant number, since it is smaller than the sum of its proper divisors (3065700768).

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

1345797120 is a wasteful number, since it uses less digits than its factorization.

1345797120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 1345797120 is about 36685.1076051305. The cubic root of 1345797120 is about 1104.0613282461.

The spelling of 1345797120 in words is "one billion, three hundred forty-five million, seven hundred ninety-seven thousand, one hundred twenty".