136105613600 has 144 divisors (see below), whose sum is σ = 363348931680. Its totient is φ = 49373491200.

The previous prime is 136105613599. The next prime is 136105613629. The reversal of 136105613600 is 6316501631.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 3668744 + ... + 3705656.

It is an arithmetic number, because the mean of its divisors is an integer number (2523256470).

Almost surely, 2^136105613600 is an apocalyptic number.

136105613600 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 136105613600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181674465840).

136105613600 is an abundant number, since it is smaller than the sum of its proper divisors (227243318080).

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

136105613600 is a wasteful number, since it uses less digits than its factorization.

136105613600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37363 (or 37350 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The spelling of 136105613600 in words is "one hundred thirty-six billion, one hundred five million, six hundred thirteen thousand, six hundred".