136905600 has 192 divisors, whose sum is σ = 486062640. Its totient is φ = 33669120.

The previous prime is 136905599. The next prime is 136905617. The reversal of 136905600 is 6509631.

It is a happy number.

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

It is a super-2 number, since 2×136905600² = 37486286622720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124252 + ... + 125348.

Almost surely, 2^136905600 is an apocalyptic number.

136905600 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 136905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243031320).

136905600 is an abundant number, since it is smaller than the sum of its proper divisors (349157040).

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

136905600 is a wasteful number, since it uses less digits than its factorization.

136905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 136905600 is about 11700.6666476744. Note that the first 4 decimals coincide. The cubic root of 136905600 is about 515.3952412544.

The spelling of 136905600 in words is "one hundred thirty-six million, nine hundred five thousand, six hundred".