135564401214 has 192 divisors, whose sum is σ = 347467760640. Its totient is φ = 37734543360.

The previous prime is 135564401201. The next prime is 135564401257. The reversal of 135564401214 is 412104465531.

135564401214 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 644 + 0 + 1 + 2 + 1 + 4 = 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, 68500477 + ... + 68502455.

It is an arithmetic number, because the mean of its divisors is an integer number (1809727920).

Almost surely, 2^135564401214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135564401214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173733880320).

135564401214 is an abundant number, since it is smaller than the sum of its proper divisors (211903359426).

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

135564401214 is a wasteful number, since it uses less digits than its factorization.

135564401214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2492 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 135564401214 its reverse (412104465531), we get a palindrome (547668866745).

The spelling of 135564401214 in words is "one hundred thirty-five billion, five hundred sixty-four million, four hundred one thousand, two hundred fourteen".