136440017280 has 384 divisors, whose sum is σ = 555825254400. Its totient is φ = 30180003840.

The previous prime is 136440017261. The next prime is 136440017281. The reversal of 136440017280 is 82710044631.

136440017280 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 400 + 172 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136440017281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1195341 + ... + 1304499.

It is an arithmetic number, because the mean of its divisors is an integer number (1447461600).

Almost surely, 2^136440017280 is an apocalyptic number.

136440017280 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 136440017280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277912627200).

136440017280 is an abundant number, since it is smaller than the sum of its proper divisors (419385237120).

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

136440017280 is a wasteful number, since it uses less digits than its factorization.

136440017280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109222 (or 109207 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 136440017280 in words is "one hundred thirty-six billion, four hundred forty million, seventeen thousand, two hundred eighty".