135534421724000 has 192 divisors, whose sum is σ = 359312489669952. Its totient is φ = 49947416064000.

The previous prime is 135534421723963. The next prime is 135534421724027. The reversal of 135534421724000 is 427124435531.

It is a congruent number.

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, 24590627 + ... + 29593373.

It is an arithmetic number, because the mean of its divisors is an integer number (1871419217031).

Almost surely, 2^{135534421724000} is an apocalyptic number.

135534421724000 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 135534421724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179656244834976).

135534421724000 is an abundant number, since it is smaller than the sum of its proper divisors (223778067945952).

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

135534421724000 is a wasteful number, since it uses less digits than its factorization.

135534421724000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5003306 (or 5003288 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 41.

The spelling of 135534421724000 in words is "one hundred thirty-five trillion, five hundred thirty-four billion, four hundred twenty-one million, seven hundred twenty-four thousand".