135641340116240 has 160 divisors (see below), whose sum is σ = 368818714091520. Its totient is φ = 45425627684352.

The previous prime is 135641340116231. The next prime is 135641340116257. The reversal of 135641340116240 is 42611043146531.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8116151 + ... + 18361769.

It is an arithmetic number, because the mean of its divisors is an integer number (2305116963072).

Almost surely, 2^{135641340116240} is an apocalyptic number.

135641340116240 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 135641340116240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184409357045760).

135641340116240 is an abundant number, since it is smaller than the sum of its proper divisors (233177373975280).

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

135641340116240 is a wasteful number, since it uses less digits than its factorization.

135641340116240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10246189 (or 10246183 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 135641340116240 in words is "one hundred thirty-five trillion, six hundred forty-one billion, three hundred forty million, one hundred sixteen thousand, two hundred forty".