135306077204000 has 192 divisors, whose sum is σ = 352054131287040. Its totient is φ = 50931321548800.

The previous prime is 135306077203991. The next prime is 135306077204021. The reversal of 135306077204000 is 402770603531.

135306077204000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 477150257 + ... + 477433743.

It is an arithmetic number, because the mean of its divisors is an integer number (1833615267120).

Almost surely, 2^{135306077204000} is an apocalyptic number.

135306077204000 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 135306077204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176027065643520).

135306077204000 is an abundant number, since it is smaller than the sum of its proper divisors (216748054083040).

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

135306077204000 is a wasteful number, since it uses less digits than its factorization.

135306077204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290548 (or 290530 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 38.

The spelling of 135306077204000 in words is "one hundred thirty-five trillion, three hundred six billion, seventy-seven million, two hundred four thousand".