136103760 has 320 divisors, whose sum is σ = 522466560. Its totient is φ = 32348160.

The previous prime is 136103743. The next prime is 136103761. The reversal of 136103760 is 67301631.

136103760 is a `hidden beast` number, since 13 + 610 + 37 + 6 + 0 = 666.

It is a super-2 number, since 2×136103760² = 37048466972275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136103761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1038895 + ... + 1039025.

It is an arithmetic number, because the mean of its divisors is an integer number (1632708).

Almost surely, 2^136103760 is an apocalyptic number.

136103760 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 136103760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261233280).

136103760 is an abundant number, since it is smaller than the sum of its proper divisors (386362800).

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

136103760 is a wasteful number, since it uses less digits than its factorization.

136103760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 136103760 is about 11666.3516147937. The cubic root of 136103760 is about 514.3870673261.

The spelling of 136103760 in words is "one hundred thirty-six million, one hundred three thousand, seven hundred sixty".