135354340044 has 288 divisors, whose sum is σ = 441971712000. Its totient is φ = 33891540480.

The previous prime is 135354340019. The next prime is 135354340087. The reversal of 135354340044 is 440043453531.

135354340044 is a `hidden beast` number, since 1 + 3 + 535 + 43 + 40 + 0 + 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 = 135354339990 and 135354340008.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87380982 + ... + 87382530.

It is an arithmetic number, because the mean of its divisors is an integer number (1534624000).

Almost surely, 2^135354340044 is an apocalyptic number.

135354340044 is a gapful number since it is divisible by the number (14) 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 135354340044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220985856000).

135354340044 is an abundant number, since it is smaller than the sum of its proper divisors (306617371956).

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

135354340044 is a wasteful number, since it uses less digits than its factorization.

135354340044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2693 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 135354340044 its reverse (440043453531), we get a palindrome (575397793575).

The spelling of 135354340044 in words is "one hundred thirty-five billion, three hundred fifty-four million, three hundred forty thousand, forty-four".