135899068032 has 1152 divisors, whose sum is σ = 536269406400. Its totient is φ = 33955117056.

The previous prime is 135899068007. The next prime is 135899068073. The reversal of 135899068032 is 230860998531.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 135899068032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7152582519 + ... + 7152582537.

Almost surely, 2^135899068032 is an apocalyptic number.

135899068032 is a gapful number since it is divisible by the number (12) 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 135899068032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268134703200).

135899068032 is an abundant number, since it is smaller than the sum of its proper divisors (400370338368).

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

135899068032 is an frugal number, since it uses more digits than its factorization.

135899068032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 135899068032 in words is "one hundred thirty-five billion, eight hundred ninety-nine million, sixty-eight thousand, thirty-two".