135118007640 has 576 divisors, whose sum is σ = 561758146560. Its totient is φ = 27850314240.

The previous prime is 135118007639. The next prime is 135118007677. The reversal of 135118007640 is 46700811531.

135118007640 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 1 + 8 + 0 + 0 + 7 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135118007595 and 135118007604.

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, 24640339 + ... + 24645821.

It is an arithmetic number, because the mean of its divisors is an integer number (975274560).

Almost surely, 2^135118007640 is an apocalyptic number.

135118007640 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 135118007640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280879073280).

135118007640 is an abundant number, since it is smaller than the sum of its proper divisors (426640138920).

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

135118007640 is a wasteful number, since it uses less digits than its factorization.

135118007640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5652 (or 5638 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 135118007640 in words is "one hundred thirty-five billion, one hundred eighteen million, seven thousand, six hundred forty".