136123680 has 384 divisors, whose sum is σ = 557383680. Its totient is φ = 27095040.

The previous prime is 136123643. The next prime is 136123693. The reversal of 136123680 is 86321631.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1071777 + ... + 1071903.

It is an arithmetic number, because the mean of its divisors is an integer number (1451520).

Almost surely, 2^136123680 is an apocalyptic number.

136123680 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 136123680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278691840).

136123680 is an abundant number, since it is smaller than the sum of its proper divisors (421260000).

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

136123680 is a wasteful number, since it uses less digits than its factorization.

136123680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 136123680 is about 11667.2053208984. The cubic root of 136123680 is about 514.4121611480.

The spelling of 136123680 in words is "one hundred thirty-six million, one hundred twenty-three thousand, six hundred eighty".