135137024568000 has 2240 divisors, whose sum is σ = 618480429735168. Its totient is φ = 28365255475200.

The previous prime is 135137024567999. The next prime is 135137024568011. The reversal of 135137024568000 is 865420731531.

It is a happy number.

135137024568000 is a `hidden beast` number, since 1 + 3 + 5 + 13 + 70 + 2 + 4 + 568 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 11616690184 + ... + 11616701816.

Almost surely, 2^{135137024568000} is an apocalyptic number.

135137024568000 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 135137024568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309240214867584).

135137024568000 is an abundant number, since it is smaller than the sum of its proper divisors (483343405167168).

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

135137024568000 is a wasteful number, since it uses less digits than its factorization.

135137024568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11889 (or 11860 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 135137024568000 in words is "one hundred thirty-five trillion, one hundred thirty-seven billion, twenty-four million, five hundred sixty-eight thousand".