136761241680 has 240 divisors, whose sum is σ = 526280601600. Its totient is φ = 31177654272.

The previous prime is 136761241651. The next prime is 136761241739. The reversal of 136761241680 is 86142167631.

136761241680 is a `hidden beast` number, since 1 + 367 + 6 + 124 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1894896 + ... + 1965744.

It is an arithmetic number, because the mean of its divisors is an integer number (2192835840).

Almost surely, 2^136761241680 is an apocalyptic number.

136761241680 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 136761241680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263140300800).

136761241680 is an abundant number, since it is smaller than the sum of its proper divisors (389519359920).

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

136761241680 is a wasteful number, since it uses less digits than its factorization.

136761241680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71258 (or 71249 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 136761241680 in words is "one hundred thirty-six billion, seven hundred sixty-one million, two hundred forty-one thousand, six hundred eighty".