136783200960 has 448 divisors, whose sum is σ = 580505011200. Its totient is φ = 29618970624.

The previous prime is 136783200949. The next prime is 136783200973. The reversal of 136783200960 is 69002387631.

136783200960 is a `hidden beast` number, since 1 + 367 + 83 + 200 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1089604 + ... + 1208636.

Almost surely, 2^136783200960 is an apocalyptic number.

136783200960 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 136783200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290252505600).

136783200960 is an abundant number, since it is smaller than the sum of its proper divisors (443721810240).

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

136783200960 is a wasteful number, since it uses less digits than its factorization.

136783200960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119085 (or 119069 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 136783200960 in words is "one hundred thirty-six billion, seven hundred eighty-three million, two hundred thousand, nine hundred sixty".