135416063520 has 192 divisors, whose sum is σ = 474125581440. Its totient is φ = 36098049024.

The previous prime is 135416063483. The next prime is 135416063567. The reversal of 135416063520 is 25360614531.

135416063520 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 16 + 0 + 635 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23683702 + ... + 23689418.

It is an arithmetic number, because the mean of its divisors is an integer number (2469404070).

Almost surely, 2^135416063520 is an apocalyptic number.

135416063520 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 135416063520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237062790720).

135416063520 is an abundant number, since it is smaller than the sum of its proper divisors (338709517920).

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

135416063520 is a wasteful number, since it uses less digits than its factorization.

135416063520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11224 (or 11210 counting only the distinct ones).

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

The spelling of 135416063520 in words is "one hundred thirty-five billion, four hundred sixteen million, sixty-three thousand, five hundred twenty".