135371658240 has 1760 divisors, whose sum is σ = 635156653824. Its totient is φ = 26754416640.

The previous prime is 135371658199. The next prime is 135371658241. The reversal of 135371658240 is 42856173531.

It is a happy number.

135371658240 is a `hidden beast` number, since 1 + 3 + 53 + 7 + 16 + 582 + 4 + 0 = 666.

135371658240 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135371658241) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 641571735 + ... + 641571945.

Almost surely, 2^135371658240 is an apocalyptic number.

135371658240 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 135371658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317578326912).

135371658240 is an abundant number, since it is smaller than the sum of its proper divisors (499784995584).

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

135371658240 is a wasteful number, since it uses less digits than its factorization.

135371658240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 135371658240 in words is "one hundred thirty-five billion, three hundred seventy-one million, six hundred fifty-eight thousand, two hundred forty".