136982664000 has 2240 divisors, whose sum is σ = 657268964352. Its totient is φ = 27371520000.

The previous prime is 136982663999. The next prime is 136982664017. The reversal of 136982664000 is 466289631.

136982664000 is a `hidden beast` number, since 136 + 98 + 26 + 6 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1356263950 + ... + 1356264050.

Almost surely, 2^136982664000 is an apocalyptic number.

136982664000 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 136982664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328634482176).

136982664000 is an abundant number, since it is smaller than the sum of its proper divisors (520286300352).

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

136982664000 is a wasteful number, since it uses less digits than its factorization.

136982664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 136982664000 in words is "one hundred thirty-six billion, nine hundred eighty-two million, six hundred sixty-four thousand".