136181360640 has 192 divisors, whose sum is σ = 469188720000. Its totient is φ = 33521467392.

The previous prime is 136181360621. The next prime is 136181360687. The reversal of 136181360640 is 46063181631.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228861 + ... + 569859.

It is an arithmetic number, because the mean of its divisors is an integer number (2443691250).

Almost surely, 2^136181360640 is an apocalyptic number.

136181360640 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 136181360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234594360000).

136181360640 is an abundant number, since it is smaller than the sum of its proper divisors (333007359360).

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

136181360640 is a wasteful number, since it uses less digits than its factorization.

136181360640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341042 (or 341022 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 136181360640 in words is "one hundred thirty-six billion, one hundred eighty-one million, three hundred sixty thousand, six hundred forty".