135661957704 has 640 divisors, whose sum is σ = 493336166400. Its totient is φ = 33866657280.

The previous prime is 135661957699. The next prime is 135661957721. The reversal of 135661957704 is 407759166531.

135661957704 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 61 + 9 + 577 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 85915587 + ... + 85917165.

It is an arithmetic number, because the mean of its divisors is an integer number (770837760).

Almost surely, 2^135661957704 is an apocalyptic number.

135661957704 is a gapful number since it is divisible by the number (14) 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 135661957704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246668083200).

135661957704 is an abundant number, since it is smaller than the sum of its proper divisors (357674208696).

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

135661957704 is a wasteful number, since it uses less digits than its factorization.

135661957704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 135661957704 in words is "one hundred thirty-five billion, six hundred sixty-one million, nine hundred fifty-seven thousand, seven hundred four".