135214311211650 has 1152 divisors, whose sum is σ = 449791751485440. Its totient is φ = 28693564416000.

The previous prime is 135214311211643. The next prime is 135214311211691. The reversal of 135214311211650 is 56112113412531.

135214311211650 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 1 + 431 + 1 + 211 + 6 + 5 + 0 = 666.

It is a super-3 number, since 3×135214311211650³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 70904199997 + ... + 70904201903.

It is an arithmetic number, because the mean of its divisors is an integer number (390444228720).

Almost surely, 2^{135214311211650} is an apocalyptic number.

135214311211650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135214311211650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224895875742720).

135214311211650 is an abundant number, since it is smaller than the sum of its proper divisors (314577440273790).

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

135214311211650 is a wasteful number, since it uses less digits than its factorization.

135214311211650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 135214311211650 in words is "one hundred thirty-five trillion, two hundred fourteen billion, three hundred eleven million, two hundred eleven thousand, six hundred fifty".