135636311562336 has 144 divisors (see below), whose sum is σ = 415399895951040. Its totient is φ = 41732874086400.

The previous prime is 135636311562319. The next prime is 135636311562359. The reversal of 135636311562336 is 633265113636531.

135636311562336 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 3 + 6 + 3 + 1 + 1 + 5 + 623 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116047860 + ... + 117210828.

It is an arithmetic number, because the mean of its divisors is an integer number (2884721499660).

Almost surely, 2^{135636311562336} is an apocalyptic number.

135636311562336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135636311562336 is an abundant number, since it is smaller than the sum of its proper divisors (279763584388704).

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

135636311562336 is a wasteful number, since it uses less digits than its factorization.

135636311562336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194149 (or 1194138 counting only the distinct ones).

The product of its digits is 15746400, while the sum is 54.

The spelling of 135636311562336 in words is "one hundred thirty-five trillion, six hundred thirty-six billion, three hundred eleven million, five hundred sixty-two thousand, three hundred thirty-six".