135001409270000 has 3200 divisors, whose sum is σ = 467820297584640. Its totient is φ = 36513607680000.

The previous prime is 135001409269933. The next prime is 135001409270003. The reversal of 135001409270000 is 72904100531.

It is a super-3 number, since 3×135001409270000³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135001409270003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 579405189884 + ... + 579405190116.

Almost surely, 2^{135001409270000} is an apocalyptic number.

135001409270000 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 135001409270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233910148792320).

135001409270000 is an abundant number, since it is smaller than the sum of its proper divisors (332818888314640).

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

135001409270000 is a wasteful number, since it uses less digits than its factorization.

135001409270000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The spelling of 135001409270000 in words is "one hundred thirty-five trillion, one billion, four hundred nine million, two hundred seventy thousand".