136040365982400 has 336 divisors, whose sum is σ = 488921218313088. Its totient is φ = 32842635264000.

The previous prime is 136040365982399. The next prime is 136040365982419. The reversal of 136040365982400 is 4289563040631.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7379319 + ... + 18070281.

Almost surely, 2^{136040365982400} is an apocalyptic number.

136040365982400 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 136040365982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244460609156544).

136040365982400 is an abundant number, since it is smaller than the sum of its proper divisors (352880852330688).

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

136040365982400 is a wasteful number, since it uses less digits than its factorization.

136040365982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10691240 (or 10691225 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 136040365982400 in words is "one hundred thirty-six trillion, forty billion, three hundred sixty-five million, nine hundred eighty-two thousand, four hundred".