135773075400000 has 336 divisors, whose sum is σ = 450299685225600. Its totient is φ = 36102355200000.

The previous prime is 135773075399981. The next prime is 135773075400049. The reversal of 135773075400000 is 4570377531.

135773075400000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209075805 + ... + 209724195.

It is an arithmetic number, because the mean of its divisors is an integer number (1340177634600).

Almost surely, 2^{135773075400000} is an apocalyptic number.

135773075400000 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 135773075400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225149842612800).

135773075400000 is an abundant number, since it is smaller than the sum of its proper divisors (314526609825600).

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

135773075400000 is an frugal number, since it uses more digits than its factorization.

135773075400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648780 (or 648750 counting only the distinct ones).

The product of its (nonzero) digits is 308700, while the sum is 42.

The spelling of 135773075400000 in words is "one hundred thirty-five trillion, seven hundred seventy-three billion, seventy-five million, four hundred thousand".