1355133120 has 112 divisors (see below), whose sum is σ = 4693724928. Its totient is φ = 328514560.

The previous prime is 1355133079. The next prime is 1355133127. The reversal of 1355133120 is 213315531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1355133127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 53604 + ... + 74723.

Almost surely, 2^1355133120 is an apocalyptic number.

1355133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1355133120 is an abundant number, since it is smaller than the sum of its proper divisors (3338591808).

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

1355133120 is a wasteful number, since it uses less digits than its factorization.

1355133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128358 (or 128348 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 1355133120 is about 36812.1327825487. The cubic root of 1355133120 is about 1106.6084613183.

Adding to 1355133120 its reverse (213315531), we get a palindrome (1568448651).

The spelling of 1355133120 in words is "one billion, three hundred fifty-five million, one hundred thirty-three thousand, one hundred twenty".