136866934880640 has 320 divisors, whose sum is σ = 489155965848000. Its totient is φ = 36469516640256.

The previous prime is 136866934880629. The next prime is 136866934880659. The reversal of 136866934880640 is 46088439668631.

136866934880640 is a `hidden beast` number, since 1 + 3 + 6 + 86 + 6 + 9 + 3 + 488 + 0 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×136866934880640³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65797641 + ... + 67845879.

It is an arithmetic number, because the mean of its divisors is an integer number (1528612393275).

Almost surely, 2^{136866934880640} is an apocalyptic number.

136866934880640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136866934880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244577982924000).

136866934880640 is an abundant number, since it is smaller than the sum of its proper divisors (352289030967360).

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

136866934880640 is a wasteful number, since it uses less digits than its factorization.

136866934880640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049559 (or 2049538 counting only the distinct ones).

The product of its (nonzero) digits is 859963392, while the sum is 72.

The spelling of 136866934880640 in words is "one hundred thirty-six trillion, eight hundred sixty-six billion, nine hundred thirty-four million, eight hundred eighty thousand, six hundred forty".