136672117344 has 96 divisors (see below), whose sum is σ = 455573744640. Its totient is φ = 39049174656.

The previous prime is 136672117343. The next prime is 136672117367. The reversal of 136672117344 is 443711276631.

136672117344 is a `hidden beast` number, since 1 + 36 + 67 + 211 + 7 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×136672117344² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 136672117344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136672117343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11292904 + ... + 11304999.

It is an arithmetic number, because the mean of its divisors is an integer number (4745559840).

Almost surely, 2^136672117344 is an apocalyptic number.

136672117344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

136672117344 is an abundant number, since it is smaller than the sum of its proper divisors (318901627296).

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

136672117344 is a wasteful number, since it uses less digits than its factorization.

136672117344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22597929 (or 22597915 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

It can be divided in two parts, 136672 and 117344, that added together give a square (254016 = 504²).

The spelling of 136672117344 in words is "one hundred thirty-six billion, six hundred seventy-two million, one hundred seventeen thousand, three hundred forty-four".