1356135221430 has 192 divisors, whose sum is σ = 4080828211200. Its totient is φ = 309003932160.

The previous prime is 1356135221351. The next prime is 1356135221473. The reversal of 1356135221430 is 341225316531.

1356135221430 is a `hidden beast` number, since 1 + 3 + 5 + 61 + 352 + 214 + 30 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2105026 + ... + 2672714.

It is an arithmetic number, because the mean of its divisors is an integer number (21254313600).

Almost surely, 2^{1356135221430} is an apocalyptic number.

1356135221430 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 1356135221430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040414105600).

1356135221430 is an abundant number, since it is smaller than the sum of its proper divisors (2724692989770).

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

1356135221430 is a wasteful number, since it uses less digits than its factorization.

1356135221430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567859 (or 567856 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 1356135221430 in words is "one trillion, three hundred fifty-six billion, one hundred thirty-five million, two hundred twenty-one thousand, four hundred thirty".