135516510236160 has 240 divisors, whose sum is σ = 469358807613696. Its totient is φ = 36135655686144.

The previous prime is 135516510236141. The next prime is 135516510236183. The reversal of 135516510236160 is 61632015615531.

135516510236160 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 1 + 6 + 5 + 1 + 0 + 23 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 423015562 + ... + 423335798.

Almost surely, 2^{135516510236160} is an apocalyptic number.

135516510236160 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 135516510236160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234679403806848).

135516510236160 is an abundant number, since it is smaller than the sum of its proper divisors (333842297377536).

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

135516510236160 is a wasteful number, since it uses less digits than its factorization.

135516510236160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338633 (or 338614 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 135516510236160 in words is "one hundred thirty-five trillion, five hundred sixteen billion, five hundred ten million, two hundred thirty-six thousand, one hundred sixty".