135598241160 has 320 divisors, whose sum is σ = 459975827520. Its totient is φ = 35827038720.

The previous prime is 135598241153. The next prime is 135598241161. The reversal of 135598241160 is 61142895531.

It is a happy number.

135598241160 is a `hidden beast` number, since 1 + 3 + 5 + 598 + 2 + 41 + 16 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (135598241161) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 243443602 + ... + 243444158.

It is an arithmetic number, because the mean of its divisors is an integer number (1437424461).

Almost surely, 2^135598241160 is an apocalyptic number.

135598241160 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 135598241160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229987913760).

135598241160 is an abundant number, since it is smaller than the sum of its proper divisors (324377586360).

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

135598241160 is a wasteful number, since it uses less digits than its factorization.

135598241160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 135598241160 in words is "one hundred thirty-five billion, five hundred ninety-eight million, two hundred forty-one thousand, one hundred sixty".