135740650964688 has 480 divisors, whose sum is σ = 479402422566912. Its totient is φ = 34829483673600.

The previous prime is 135740650964669. The next prime is 135740650964689. The reversal of 135740650964688 is 886469056047531.

135740650964688 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 406 + 50 + 96 + 4 + 6 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135740650964689) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 327898153 + ... + 328311863.

Almost surely, 2^{135740650964688} is an apocalyptic number.

135740650964688 is a gapful number since it is divisible by the number (18) 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 135740650964688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239701211283456).

135740650964688 is an abundant number, since it is smaller than the sum of its proper divisors (343661771602224).

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

135740650964688 is a wasteful number, since it uses less digits than its factorization.

135740650964688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414103 (or 414094 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 135740650964688 in words is "one hundred thirty-five trillion, seven hundred forty billion, six hundred fifty million, nine hundred sixty-four thousand, six hundred eighty-eight".