35135541144 has 144 divisors (see below), whose sum is σ = 106284302280. Its totient is φ = 10399092480.

The previous prime is 35135541127. The next prime is 35135541169. The reversal of 35135541144 is 44114553153.

35135541144 is a `hidden beast` number, since 3 + 51 + 3 + 554 + 11 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 35135541099 and 35135541108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1452412 + ... + 1476404.

Almost surely, 2^35135541144 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 35135541144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53142151140).

35135541144 is an abundant number, since it is smaller than the sum of its proper divisors (71148761136).

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

35135541144 is a wasteful number, since it uses less digits than its factorization.

35135541144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24102 (or 24052 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The spelling of 35135541144 in words is "thirty-five billion, one hundred thirty-five million, five hundred forty-one thousand, one hundred forty-four".