136674187776 has 240 divisors, whose sum is σ = 474529598400. Its totient is φ = 36994351104.

The previous prime is 136674187739. The next prime is 136674187781. The reversal of 136674187776 is 677781476631.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

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 23 ways as a sum of consecutive naturals, for example, 501360 + ... + 724368.

It is an arithmetic number, because the mean of its divisors is an integer number (1977206660).

Almost surely, 2^136674187776 is an apocalyptic number.

136674187776 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 136674187776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237264799200).

136674187776 is an abundant number, since it is smaller than the sum of its proper divisors (337855410624).

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

136674187776 is a wasteful number, since it uses less digits than its factorization.

136674187776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223059 (or 223040 counting only the distinct ones).

The product of its digits is 49787136, while the sum is 63.

The spelling of 136674187776 in words is "one hundred thirty-six billion, six hundred seventy-four million, one hundred eighty-seven thousand, seven hundred seventy-six".