135335601120 has 96 divisors (see below), whose sum is σ = 436704942240. Its totient is φ = 35209256960.

The previous prime is 135335601091. The next prime is 135335601127. The reversal of 135335601120 is 21106533531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135335601127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3418725 + ... + 3458084.

It is an arithmetic number, because the mean of its divisors is an integer number (4549009815).

Almost surely, 2^135335601120 is an apocalyptic number.

135335601120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135335601120 is an abundant number, since it is smaller than the sum of its proper divisors (301369341120).

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

135335601120 is a wasteful number, since it uses less digits than its factorization.

135335601120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6876868 (or 6876860 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The spelling of 135335601120 in words is "one hundred thirty-five billion, three hundred thirty-five million, six hundred one thousand, one hundred twenty".