136016257440 has 768 divisors, whose sum is σ = 533311672320. Its totient is φ = 28434432000.

The previous prime is 136016257397. The next prime is 136016257441. The reversal of 136016257440 is 44752610631.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (136016257441) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 541897315 + ... + 541897565.

It is an arithmetic number, because the mean of its divisors is an integer number (694416240).

Almost surely, 2^136016257440 is an apocalyptic number.

136016257440 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 136016257440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266655836160).

136016257440 is an abundant number, since it is smaller than the sum of its proper divisors (397295414880).

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

136016257440 is a wasteful number, since it uses less digits than its factorization.

136016257440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 136016257440 in words is "one hundred thirty-six billion, sixteen million, two hundred fifty-seven thousand, four hundred forty".