1345107720 has 128 divisors (see below), whose sum is σ = 4458240000. Its totient is φ = 321934080.

The previous prime is 1345107707. The next prime is 1345107721. The reversal of 1345107720 is 277015431.

1345107720 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1345107721) 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, 97831 + ... + 110729.

It is an arithmetic number, because the mean of its divisors is an integer number (34830000).

Almost surely, 2^1345107720 is an apocalyptic number.

1345107720 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 1345107720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229120000).

1345107720 is an abundant number, since it is smaller than the sum of its proper divisors (3113132280).

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

1345107720 is a wasteful number, since it uses less digits than its factorization.

1345107720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13003 (or 12999 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 1345107720 is about 36675.7102180721. The cubic root of 1345107720 is about 1103.8727733560.

The spelling of 1345107720 in words is "one billion, three hundred forty-five million, one hundred seven thousand, seven hundred twenty".