1356481800 has 144 divisors (see below), whose sum is σ = 4598745840. Its totient is φ = 358296960.

The previous prime is 1356481781. The next prime is 1356481811. The reversal of 1356481800 is 81846531.

1356481800 is a `hidden beast` number, since 1 + 3 + 5 + 648 + 1 + 8 + 0 + 0 = 666.

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

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 35 ways as a sum of consecutive naturals, for example, 189079 + ... + 196121.

It is an arithmetic number, because the mean of its divisors is an integer number (31935735).

Almost surely, 2^1356481800 is an apocalyptic number.

1356481800 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 1356481800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299372920).

1356481800 is an abundant number, since it is smaller than the sum of its proper divisors (3242264040).

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

1356481800 is a wasteful number, since it uses less digits than its factorization.

1356481800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7172 (or 7160 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1356481800 is about 36830.4466440471. The cubic root of 1356481800 is about 1106.9754525345.

The spelling of 1356481800 in words is "one billion, three hundred fifty-six million, four hundred eighty-one thousand, eight hundred".