1353862272 has 128 divisors (see below), whose sum is σ = 4132224000. Its totient is φ = 384721920.

The previous prime is 1353862261. The next prime is 1353862273. The reversal of 1353862272 is 2722683531.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1353862272.

It is not an unprimeable number, because it can be changed into a prime (1353862273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 533647 + ... + 536177.

It is an arithmetic number, because the mean of its divisors is an integer number (32283000).

Almost surely, 2^1353862272 is an apocalyptic number.

1353862272 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 1353862272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066112000).

1353862272 is an abundant number, since it is smaller than the sum of its proper divisors (2778361728).

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

1353862272 is a wasteful number, since it uses less digits than its factorization.

1353862272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2742 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 1353862272 is about 36794.8674681674. The cubic root of 1353862272 is about 1106.2624261875.

The spelling of 1353862272 in words is "one billion, three hundred fifty-three million, eight hundred sixty-two thousand, two hundred seventy-two".