136414663488 has 168 divisors, whose sum is σ = 407985029088. Its totient is φ = 45191748096.

The previous prime is 136414663459. The next prime is 136414663531. The reversal of 136414663488 is 884366414631.

136414663488 is a `hidden beast` number, since 1 + 3 + 64 + 1 + 46 + 63 + 488 = 666.

It is a super-2 number, since 2×136414663488² (a number of 23 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2508070 + ... + 2561882.

It is an arithmetic number, because the mean of its divisors is an integer number (2428482316).

Almost surely, 2^136414663488 is an apocalyptic number.

136414663488 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 136414663488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203992514544).

136414663488 is an abundant number, since it is smaller than the sum of its proper divisors (271570365600).

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

136414663488 is an equidigital number, since it uses as much as digits as its factorization.

136414663488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54003 (or 53981 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 136414663488 in words is "one hundred thirty-six billion, four hundred fourteen million, six hundred sixty-three thousand, four hundred eighty-eight".