135847696320 has 896 divisors, whose sum is σ = 595761592320. Its totient is φ = 28426567680.

The previous prime is 135847696297. The next prime is 135847696333. The reversal of 135847696320 is 23696748531.

135847696320 is a `hidden beast` number, since 1 + 3 + 58 + 476 + 96 + 32 + 0 = 666.

135847696320 is digitally balanced in base 7, 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 (54).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 38040135 + ... + 38043705.

It is a 1-persistent number, because it is pandigital, but 2⋅135847696320 = 271695392640 is not.

Almost surely, 2^135847696320 is an apocalyptic number.

135847696320 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 135847696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297880796160).

135847696320 is an abundant number, since it is smaller than the sum of its proper divisors (459913896000).

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

135847696320 is a wasteful number, since it uses less digits than its factorization.

135847696320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 135847696320 in words is "one hundred thirty-five billion, eight hundred forty-seven million, six hundred ninety-six thousand, three hundred twenty".