136918080 has 448 divisors, whose sum is σ = 553029120. Its totient is φ = 31629312.

The previous prime is 136918073. The next prime is 136918121. The reversal of 136918080 is 80819631.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2583334 + ... + 2583386.

It is an arithmetic number, because the mean of its divisors is an integer number (1234440).

Almost surely, 2^136918080 is an apocalyptic number.

136918080 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 136918080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276514560).

136918080 is an abundant number, since it is smaller than the sum of its proper divisors (416111040).

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

136918080 is a wasteful number, since it uses less digits than its factorization.

136918080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 136918080 is about 11701.1999384678. The cubic root of 136918080 is about 515.4109015273.

The spelling of 136918080 in words is "one hundred thirty-six million, nine hundred eighteen thousand, eighty".