135211355400000 has 1344 divisors, whose sum is σ = 494267287368960. Its totient is φ = 32347545600000.

The previous prime is 135211355399999. The next prime is 135211355400001. The reversal of 135211355400000 is 4553112531.

135211355400000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135211355399999) and next prime (135211355400001).

It is a super-2 number, since 2×135211355400000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135211355400001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 207061799674 + ... + 207061800326.

It is an arithmetic number, because the mean of its divisors is an integer number (367758398340).

Almost surely, 2^{135211355400000} is an apocalyptic number.

135211355400000 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 135211355400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247133643684480).

135211355400000 is an abundant number, since it is smaller than the sum of its proper divisors (359055931968960).

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

135211355400000 is a wasteful number, since it uses less digits than its factorization.

135211355400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 135211355400000 in words is "one hundred thirty-five trillion, two hundred eleven billion, three hundred fifty-five million, four hundred thousand".