135101997840 has 160 divisors (see below), whose sum is σ = 425115648000. Its totient is φ = 35486277120.

The previous prime is 135101997817. The next prime is 135101997851. The reversal of 135101997840 is 48799101531.

135101997840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 135101997840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21791061 + ... + 21797259.

It is an arithmetic number, because the mean of its divisors is an integer number (2656972800).

Almost surely, 2^135101997840 is an apocalyptic number.

135101997840 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 135101997840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212557824000).

135101997840 is an abundant number, since it is smaller than the sum of its proper divisors (290013650160).

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

135101997840 is a wasteful number, since it uses less digits than its factorization.

135101997840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7565 (or 7559 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 48.

The spelling of 135101997840 in words is "one hundred thirty-five billion, one hundred one million, nine hundred ninety-seven thousand, eight hundred forty".