135902840832 has 288 divisors, whose sum is σ = 436308949440. Its totient is φ = 40402452480.

The previous prime is 135902840813. The next prime is 135902840839. The reversal of 135902840832 is 238048209531.

135902840832 is a `hidden beast` number, since 1 + 3 + 590 + 28 + 4 + 0 + 8 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (135902840839) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10739533 + ... + 10752179.

It is an arithmetic number, because the mean of its divisors is an integer number (1514961630).

Almost surely, 2^135902840832 is an apocalyptic number.

135902840832 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 135902840832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218154474720).

135902840832 is an abundant number, since it is smaller than the sum of its proper divisors (300406108608).

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

135902840832 is a wasteful number, since it uses less digits than its factorization.

135902840832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12739 (or 12716 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 135902840832 in words is "one hundred thirty-five billion, nine hundred two million, eight hundred forty thousand, eight hundred thirty-two".