135604209741 has 128 divisors (see below), whose sum is σ = 247032446976. Its totient is φ = 63890830080.

The previous prime is 135604209733. The next prime is 135604209781. The reversal of 135604209741 is 147902406531.

It is not a de Polignac number, because 135604209741 - 2³ = 135604209733 is a prime.

It is a super-2 number, since 2×135604209741² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135604209693 and 135604209702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135604209731) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40806106 + ... + 40809428.

It is an arithmetic number, because the mean of its divisors is an integer number (1929940992).

Almost surely, 2^135604209741 is an apocalyptic number.

135604209741 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

135604209741 is a deficient number, since it is larger than the sum of its proper divisors (111428237235).

135604209741 is a wasteful number, since it uses less digits than its factorization.

135604209741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3591.

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 135604209741 in words is "one hundred thirty-five billion, six hundred four million, two hundred nine thousand, seven hundred forty-one".