135190848000 has 320 divisors, whose sum is σ = 484059768192. Its totient is φ = 33277132800.

The previous prime is 135190847999. The next prime is 135190848041. The reversal of 135190848000 is 848091531.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 135190848000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2468919 + ... + 2523081.

Almost surely, 2^135190848000 is an apocalyptic number.

135190848000 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 135190848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242029884096).

135190848000 is an abundant number, since it is smaller than the sum of its proper divisors (348868920192).

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

135190848000 is an equidigital number, since it uses as much as digits as its factorization.

135190848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54212 (or 54186 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 135190848000 in words is "one hundred thirty-five billion, one hundred ninety million, eight hundred forty-eight thousand".