135453450030444 has 384 divisors, whose sum is σ = 434648705863680. Its totient is φ = 35523093086208.

The previous prime is 135453450030433. The next prime is 135453450030497. The reversal of 135453450030444 is 444030054354531.

135453450030444 is a `hidden beast` number, since 1 + 3 + 5 + 45 + 34 + 500 + 30 + 4 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 135453450030444.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4622496697 + ... + 4622525999.

It is an arithmetic number, because the mean of its divisors is an integer number (1131897671520).

Almost surely, 2^{135453450030444} is an apocalyptic number.

135453450030444 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 135453450030444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217324352931840).

135453450030444 is an abundant number, since it is smaller than the sum of its proper divisors (299195255833236).

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

135453450030444 is a wasteful number, since it uses less digits than its factorization.

135453450030444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31966 (or 31958 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 135453450030444 in words is "one hundred thirty-five trillion, four hundred fifty-three billion, four hundred fifty million, thirty thousand, four hundred forty-four".