135841145088 has 288 divisors, whose sum is σ = 417015244800. Its totient is φ = 38823321600.

The previous prime is 135841145057. The next prime is 135841145117. The reversal of 135841145088 is 880541148531.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 38360598 + ... + 38364138.

It is an arithmetic number, because the mean of its divisors is an integer number (1447969600).

Almost surely, 2^135841145088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135841145088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208507622400).

135841145088 is an abundant number, since it is smaller than the sum of its proper divisors (281174099712).

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

135841145088 is a wasteful number, since it uses less digits than its factorization.

135841145088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3829 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 48.

The spelling of 135841145088 in words is "one hundred thirty-five billion, eight hundred forty-one million, one hundred forty-five thousand, eighty-eight".