135686158247376 has 180 divisors, whose sum is σ = 417599902763680. Its totient is φ = 41096560982400.

The previous prime is 135686158247371. The next prime is 135686158247389. The reversal of 135686158247376 is 673742851686531.

135686158247376 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 8 + 6 + 1 + 5 + 8 + 247 + 376 = 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 (135686158247371) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33103485 + ... + 36975843.

Almost surely, 2^{135686158247376} is an apocalyptic number.

135686158247376 is a gapful number since it is divisible by the number (16) 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 135686158247376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208799951381840).

135686158247376 is an abundant number, since it is smaller than the sum of its proper divisors (281913744516304).

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

135686158247376 is a wasteful number, since it uses less digits than its factorization.

135686158247376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3874406 (or 3874386 counting only the distinct ones).

The product of its digits is 1219276800, while the sum is 72.

The spelling of 135686158247376 in words is "one hundred thirty-five trillion, six hundred eighty-six billion, one hundred fifty-eight million, two hundred forty-seven thousand, three hundred seventy-six".