136281870144 has 210 divisors, whose sum is σ = 469939302690. Its totient is φ = 38937604608.

The previous prime is 136281870143. The next prime is 136281870161. The reversal of 136281870144 is 441078182631.

136281870144 is a `hidden beast` number, since 1 + 3 + 628 + 1 + 8 + 7 + 0 + 14 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78243278400 + 58038591744 = 279720^2 + 240912^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 136281870144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136281870143) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 14239 + ... + 522270.

Almost surely, 2^136281870144 is an apocalyptic number.

136281870144 is a gapful number since it is divisible by the number (14) 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 136281870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234969651345).

136281870144 is an abundant number, since it is smaller than the sum of its proper divisors (333657432546).

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

136281870144 is an equidigital number, since it uses as much as digits as its factorization.

136281870144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536547 (or 536521 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 136281870144 in words is "one hundred thirty-six billion, two hundred eighty-one million, eight hundred seventy thousand, one hundred forty-four".