135512254324000 has 192 divisors, whose sum is σ = 344472475183200. Its totient is φ = 52330037760000.

The previous prime is 135512254323973. The next prime is 135512254324043. The reversal of 135512254324000 is 423452215531.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 5054072464 + 135507200251536 = 71092^2 + 11640756^2 .

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, 1148457006 + ... + 1148574994.

Almost surely, 2^{135512254324000} is an apocalyptic number.

135512254324000 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 135512254324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172236237591600).

135512254324000 is an abundant number, since it is smaller than the sum of its proper divisors (208960220859200).

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

135512254324000 is a wasteful number, since it uses less digits than its factorization.

135512254324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127944 (or 127926 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 135512254324000 in words is "one hundred thirty-five trillion, five hundred twelve billion, two hundred fifty-four million, three hundred twenty-four thousand".