135234453200000 has 1152 divisors, whose sum is σ = 449838542865600. Its totient is φ = 39931315200000.

The previous prime is 135234453199997. The next prime is 135234453200023. The reversal of 135234453200000 is 2354432531.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 135234453200000.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4096383494 + ... + 4096416506.

Almost surely, 2^{135234453200000} is an apocalyptic number.

135234453200000 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 135234453200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224919271432800).

135234453200000 is an abundant number, since it is smaller than the sum of its proper divisors (314604089665600).

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

135234453200000 is an equidigital number, since it uses as much as digits as its factorization.

135234453200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33096 (or 33057 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The spelling of 135234453200000 in words is "one hundred thirty-five trillion, two hundred thirty-four billion, four hundred fifty-three million, two hundred thousand".