1353435120 has 120 divisors (see below), whose sum is σ = 4552784496. Its totient is φ = 360321024.

The previous prime is 1353435079. The next prime is 1353435143. The reversal of 1353435120 is 215343531.

1353435120 is a `hidden beast` number, since 1 + 3 + 534 + 3 + 5 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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, 594304 + ... + 596576.

Almost surely, 2^1353435120 is an apocalyptic number.

1353435120 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 1353435120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276392248).

1353435120 is an abundant number, since it is smaller than the sum of its proper divisors (3199349376).

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

1353435120 is a wasteful number, since it uses less digits than its factorization.

1353435120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3119 (or 3110 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1353435120 is about 36789.0625050435. The cubic root of 1353435120 is about 1106.1460697153.

Adding to 1353435120 its reverse (215343531), we get a palindrome (1568778651).

The spelling of 1353435120 in words is "one billion, three hundred fifty-three million, four hundred thirty-five thousand, one hundred twenty".