1355142432 has 144 divisors (see below), whose sum is σ = 4271968512. Its totient is φ = 374653440.

The previous prime is 1355142419. The next prime is 1355142499. The reversal of 1355142432 is 2342415531.

It is a super-2 number, since 2×1355142432² = 3672822022013749248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1355142432.

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, 141178 + ... + 150470.

It is an arithmetic number, because the mean of its divisors is an integer number (29666448).

Almost surely, 2^1355142432 is an apocalyptic number.

1355142432 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 1355142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135984256).

1355142432 is an abundant number, since it is smaller than the sum of its proper divisors (2916826080).

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

1355142432 is a wasteful number, since it uses less digits than its factorization.

1355142432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9351 (or 9336 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 1355142432 is about 36812.2592623707. The cubic root of 1355142432 is about 1106.6109960544.

Adding to 1355142432 its reverse (2342415531), we get a palindrome (3697557963).

The spelling of 1355142432 in words is "one billion, three hundred fifty-five million, one hundred forty-two thousand, four hundred thirty-two".