136244737973664 has 144 divisors (see below), whose sum is σ = 425430873399168. Its totient is φ = 42743447165952.

The previous prime is 136244737973633. The next prime is 136244737973677. The reversal of 136244737973664 is 466379737442631.

136244737973664 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 4 + 473 + 7 + 97 + 3 + 6 + 64 = 666.

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

It is a super-2 number, since 2×136244737973664² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 136244737973592 and 136244737973601.

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, 515196792 + ... + 515461175.

It is an arithmetic number, because the mean of its divisors is an integer number (2954381065272).

Almost surely, 2^{136244737973664} is an apocalyptic number.

It is an amenable number.

136244737973664 is an abundant number, since it is smaller than the sum of its proper divisors (289186135425504).

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

136244737973664 is a wasteful number, since it uses less digits than its factorization.

136244737973664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030658009 (or 1030657989 counting only the distinct ones).

The product of its digits is 2304433152, while the sum is 72.

The spelling of 136244737973664 in words is "one hundred thirty-six trillion, two hundred forty-four billion, seven hundred thirty-seven million, nine hundred seventy-three thousand, six hundred sixty-four".