135161042520 has 768 divisors, whose sum is σ = 524271605760. Its totient is φ = 27206959104.

The previous prime is 135161042477. The next prime is 135161042543. The reversal of 135161042520 is 25240161531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 809347477 + ... + 809347643.

It is an arithmetic number, because the mean of its divisors is an integer number (682645320).

Almost surely, 2^135161042520 is an apocalyptic number.

135161042520 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 135161042520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262135802880).

135161042520 is an abundant number, since it is smaller than the sum of its proper divisors (389110563240).

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

135161042520 is a wasteful number, since it uses less digits than its factorization.

135161042520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 135161042520 in words is "one hundred thirty-five billion, one hundred sixty-one million, forty-two thousand, five hundred twenty".