1355142304 has 24 divisors (see below), whose sum is σ = 2668916628. Its totient is φ = 677322240.

The previous prime is 1355142251. The next prime is 1355142307. The reversal of 1355142304 is 4032415531.

It can be written as a sum of positive squares in 2 ways, for example, as 1187491600 + 167650704 = 34460^2 + 12948^2 .

It is a super-3 number, since 3×1355142304³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1355142307) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 106524 + ... + 118564.

Almost surely, 2^1355142304 is an apocalyptic number.

It is an amenable number.

1355142304 is a deficient number, since it is larger than the sum of its proper divisors (1313774324).

1355142304 is a wasteful number, since it uses less digits than its factorization.

1355142304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15568 (or 15560 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 1355142304 is about 36812.2575238194. The cubic root of 1355142304 is about 1106.6109612128.

Adding to 1355142304 its reverse (4032415531), we get a palindrome (5387557835).

It can be divided in two parts, 13551 and 42304, that added together give a palindrome (55855).

The spelling of 1355142304 in words is "one billion, three hundred fifty-five million, one hundred forty-two thousand, three hundred four".