136781568 has 288 divisors, whose sum is σ = 506257920. Its totient is φ = 35389440.

The previous prime is 136781531. The next prime is 136781569. The reversal of 136781568 is 865187631.

136781568 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 81 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (241920) is a multiple of the sum of its prime divisors (280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136781569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 532096 + ... + 532352.

It is an arithmetic number, because the mean of its divisors is an integer number (1757840).

Almost surely, 2^136781568 is an apocalyptic number.

136781568 is a gapful number since it is divisible by the number (18) 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 136781568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253128960).

136781568 is an abundant number, since it is smaller than the sum of its proper divisors (369476352).

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

136781568 is a wasteful number, since it uses less digits than its factorization.

136781568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 280 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 136781568 is about 11695.3652358530. The cubic root of 136781568 is about 515.2395504789.

The spelling of 136781568 in words is "one hundred thirty-six million, seven hundred eighty-one thousand, five hundred sixty-eight".