135516700460544 has 640 divisors, whose sum is σ = 418526732574720. Its totient is φ = 38610564710400.

The previous prime is 135516700460513. The next prime is 135516700460551. The reversal of 135516700460544 is 445064007615531.

It is a super-2 number, since 2×135516700460544² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14461280179 + ... + 14461289549.

It is an arithmetic number, because the mean of its divisors is an integer number (653948019648).

Almost surely, 2^{135516700460544} 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 135516700460544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209263366287360).

135516700460544 is an abundant number, since it is smaller than the sum of its proper divisors (283010032114176).

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

135516700460544 is a wasteful number, since it uses less digits than its factorization.

135516700460544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10282 (or 10266 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 51.

The spelling of 135516700460544 in words is "one hundred thirty-five trillion, five hundred sixteen billion, seven hundred million, four hundred sixty thousand, five hundred forty-four".