1345537440 has 576 divisors, whose sum is σ = 5423241600. Its totient is φ = 310542336.

The previous prime is 1345537433. The next prime is 1345537477. The reversal of 1345537440 is 447355431.

1345537440 is a `hidden beast` number, since 1 + 34 + 553 + 74 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1345537395 and 1345537404.

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 95 ways as a sum of consecutive naturals, for example, 13871472 + ... + 13871568.

It is an arithmetic number, because the mean of its divisors is an integer number (9415350).

Almost surely, 2^1345537440 is an apocalyptic number.

1345537440 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 1345537440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711620800).

1345537440 is an abundant number, since it is smaller than the sum of its proper divisors (4077704160).

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

1345537440 is a wasteful number, since it uses less digits than its factorization.

1345537440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 1345537440 is about 36681.5681235140. The cubic root of 1345537440 is about 1103.9903118242.

The spelling of 1345537440 in words is "one billion, three hundred forty-five million, five hundred thirty-seven thousand, four hundred forty".