135143142514560 has 192 divisors, whose sum is σ = 467678464212960. Its totient is φ = 35959996723200.

The previous prime is 135143142514543. The next prime is 135143142514573. The reversal of 135143142514560 is 65415241341531.

135143142514560 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 4 + 3 + 142 + 51 + 456 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×135143142514560³ (a number of 43 digits) contains 333 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22791876 + ... + 28102595.

Almost surely, 2^{135143142514560} is an apocalyptic number.

135143142514560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135143142514560 is an abundant number, since it is smaller than the sum of its proper divisors (332535321698400).

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

135143142514560 is a wasteful number, since it uses less digits than its factorization.

135143142514560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50894957 (or 50894942 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 135143142514560 in words is "one hundred thirty-five trillion, one hundred forty-three billion, one hundred forty-two million, five hundred fourteen thousand, five hundred sixty".