135694009527516 has 144 divisors (see below), whose sum is σ = 387619903288800. Its totient is φ = 39665737267200.

The previous prime is 135694009527511. The next prime is 135694009527529. The reversal of 135694009527516 is 615725900496531.

135694009527516 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 9 + 4 + 0 + 0 + 95 + 27 + 516 = 666.

It is a super-2 number, since 2×135694009527516² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135694009527511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45507811 + ... + 48397818.

It is an arithmetic number, because the mean of its divisors is an integer number (2691804883950).

Almost surely, 2^{135694009527516} is an apocalyptic number.

It is an amenable number.

135694009527516 is an abundant number, since it is smaller than the sum of its proper divisors (251925893761284).

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

135694009527516 is a wasteful number, since it uses less digits than its factorization.

135694009527516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93905780 (or 93905775 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 63.

The spelling of 135694009527516 in words is "one hundred thirty-five trillion, six hundred ninety-four billion, nine million, five hundred twenty-seven thousand, five hundred sixteen".