136005321296800 has 72 divisors (see below), whose sum is σ = 335445908236236. Its totient is φ = 53841281802240.

The previous prime is 136005321296777. The next prime is 136005321296821. The reversal of 136005321296800 is 8692123500631.

It can be written as a sum of positive squares in 6 ways, for example, as 18226307715984 + 117779013580816 = 4269228^2 + 10852604^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 876245347 + ... + 876400546.

Almost surely, 2^{136005321296800} is an apocalyptic number.

136005321296800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136005321296800 is an abundant number, since it is smaller than the sum of its proper divisors (199440586939436).

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

136005321296800 is a wasteful number, since it uses less digits than its factorization.

136005321296800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752646010 (or 1752645997 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 136005321296800 in words is "one hundred thirty-six trillion, five billion, three hundred twenty-one million, two hundred ninety-six thousand, eight hundred".