136327139281440 has 2304 divisors, whose sum is σ = 558752614318080. Its totient is φ = 31196470947840.

The previous prime is 136327139281387. The next prime is 136327139281441. The reversal of 136327139281440 is 44182931723631.

136327139281440 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 27 + 13 + 92 + 81 + 440 = 666.

It is a super-2 number, since 2×136327139281440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (136327139281441) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 24755243167 + ... + 24755248673.

It is an arithmetic number, because the mean of its divisors is an integer number (242514155520).

Almost surely, 2^{136327139281440} is an apocalyptic number.

136327139281440 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 136327139281440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279376307159040).

136327139281440 is an abundant number, since it is smaller than the sum of its proper divisors (422425475036640).

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

136327139281440 is a wasteful number, since it uses less digits than its factorization.

136327139281440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5657 (or 5637 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 136327139281440 in words is "one hundred thirty-six trillion, three hundred twenty-seven billion, one hundred thirty-nine million, two hundred eighty-one thousand, four hundred forty".