135331452120000 has 280 divisors, whose sum is σ = 450852962769792. Its totient is φ = 35812899200000.

The previous prime is 135331452119987. The next prime is 135331452120043. The reversal of 135331452120000 is 21254133531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 135331452120000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11415565 + ... + 20024435.

Almost surely, 2^{135331452120000} is an apocalyptic number.

135331452120000 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 135331452120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225426481384896).

135331452120000 is an abundant number, since it is smaller than the sum of its proper divisors (315521510649792).

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

135331452120000 is an equidigital number, since it uses as much as digits as its factorization.

135331452120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8609037 (or 8609012 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 135331452120000 in words is "one hundred thirty-five trillion, three hundred thirty-one billion, four hundred fifty-two million, one hundred twenty thousand".