135516414352 has 80 divisors (see below), whose sum is σ = 289518737472. Its totient is φ = 60936744960.

The previous prime is 135516414337. The next prime is 135516414367. The reversal of 135516414352 is 253414615531.

It is an interprime number because it is at equal distance from previous prime (135516414337) and next prime (135516414367).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10872508 + ... + 10884964.

Almost surely, 2^135516414352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135516414352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144759368736).

135516414352 is an abundant number, since it is smaller than the sum of its proper divisors (154002323120).

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

135516414352 is a wasteful number, since it uses less digits than its factorization.

135516414352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13136 (or 13130 counting only the distinct ones).

The product of its digits is 216000, while the sum is 40.

The spelling of 135516414352 in words is "one hundred thirty-five billion, five hundred sixteen million, four hundred fourteen thousand, three hundred fifty-two".