135649444320 has 432 divisors, whose sum is σ = 510504845760. Its totient is φ = 32605784064.

The previous prime is 135649444319. The next prime is 135649444331. The reversal of 135649444320 is 23444946531.

135649444320 is a `hidden beast` number, since 1 + 3 + 564 + 9 + 44 + 43 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34611321 + ... + 34615239.

It is an arithmetic number, because the mean of its divisors is an integer number (1181724180).

Almost surely, 2^135649444320 is an apocalyptic number.

135649444320 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 135649444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255252422880).

135649444320 is an abundant number, since it is smaller than the sum of its proper divisors (374855401440).

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

135649444320 is a wasteful number, since it uses less digits than its factorization.

135649444320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4039 (or 3985 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 135649444320 in words is "one hundred thirty-five billion, six hundred forty-nine million, four hundred forty-four thousand, three hundred twenty".