1356743520 has 480 divisors, whose sum is σ = 5409524736. Its totient is φ = 317260800.

The previous prime is 1356743459. The next prime is 1356743579. The reversal of 1356743520 is 253476531.

1356743520 is a `hidden beast` number, since 1 + 3 + 567 + 43 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4419207 + ... + 4419513.

Almost surely, 2^1356743520 is an apocalyptic number.

1356743520 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 1356743520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704762368).

1356743520 is an abundant number, since it is smaller than the sum of its proper divisors (4052781216).

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

1356743520 is a wasteful number, since it uses less digits than its factorization.

1356743520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 1356743520 is about 36833.9995113211. Note that the first 3 decimals coincide. The cubic root of 1356743520 is about 1107.0466413468.

Adding to 1356743520 its sum of digits (36), we get a square (1356743556 = 36834²).

The spelling of 1356743520 in words is "one billion, three hundred fifty-six million, seven hundred forty-three thousand, five hundred twenty".