135687583764 has 72 divisors (see below), whose sum is σ = 345768958080. Its totient is φ = 44863967232.

The previous prime is 135687583753. The next prime is 135687583769. The reversal of 135687583764 is 467385786531.

It is a happy number.

135687583764 is a `hidden beast` number, since 1 + 3 + 568 + 7 + 5 + 8 + 3 + 7 + 64 = 666.

It is a super-2 number, since 2×135687583764² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135687583769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2180547 + ... + 2241909.

It is an arithmetic number, because the mean of its divisors is an integer number (4802346640).

Almost surely, 2^135687583764 is an apocalyptic number.

It is an amenable number.

135687583764 is an abundant number, since it is smaller than the sum of its proper divisors (210081374316).

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

135687583764 is a wasteful number, since it uses less digits than its factorization.

135687583764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61869 (or 61864 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 135687583764 in words is "one hundred thirty-five billion, six hundred eighty-seven million, five hundred eighty-three thousand, seven hundred sixty-four".