1355120332137 has 128 divisors (see below), whose sum is σ = 2386691973120. Its totient is φ = 749100337920.

The previous prime is 1355120332123. The next prime is 1355120332207. The reversal of 1355120332137 is 7312330215531.

1355120332137 is a `hidden beast` number, since 1 + 3 + 5 + 512 + 0 + 3 + 3 + 2 + 137 = 666.

It is not a de Polignac number, because 1355120332137 - 2⁷ = 1355120332009 is a prime.

It is a super-2 number, since 2×1355120332137² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1355120332037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 193668123 + ... + 193675119.

It is an arithmetic number, because the mean of its divisors is an integer number (18646031040).

Almost surely, 2^{1355120332137} is an apocalyptic number.

It is an amenable number.

1355120332137 is a deficient number, since it is larger than the sum of its proper divisors (1031571640983).

1355120332137 is a wasteful number, since it uses less digits than its factorization.

1355120332137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7620 (or 7614 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

Adding to 1355120332137 its reverse (7312330215531), we get a palindrome (8667450547668).

The spelling of 1355120332137 in words is "one trillion, three hundred fifty-five billion, one hundred twenty million, three hundred thirty-two thousand, one hundred thirty-seven".