1356838272 has 192 divisors, whose sum is σ = 4191220800. Its totient is φ = 419807232.

The previous prime is 1356838199. The next prime is 1356838291. The reversal of 1356838272 is 2728386531.

1356838272 is a `hidden beast` number, since 1 + 3 + 568 + 3 + 82 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1546698 + ... + 1547574.

It is an arithmetic number, because the mean of its divisors is an integer number (21829275).

Almost surely, 2^1356838272 is an apocalyptic number.

1356838272 is a gapful number since it is divisible by the number (12) 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 1356838272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095610400).

1356838272 is an abundant number, since it is smaller than the sum of its proper divisors (2834382528).

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

1356838272 is a wasteful number, since it uses less digits than its factorization.

1356838272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 978 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 1356838272 is about 36835.2856918472. The cubic root of 1356838272 is about 1107.0724119856.

The spelling of 1356838272 in words is "one billion, three hundred fifty-six million, eight hundred thirty-eight thousand, two hundred seventy-two".