136784880 has 120 divisors (see below), whose sum is σ = 475282080. Its totient is φ = 35212800.

The previous prime is 136784867. The next prime is 136784881. The reversal of 136784880 is 88487631.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×136784880² = 37420206793228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136784881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17605 + ... + 24155.

It is an arithmetic number, because the mean of its divisors is an integer number (3960684).

Almost surely, 2^136784880 is an apocalyptic number.

136784880 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 136784880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237641040).

136784880 is an abundant number, since it is smaller than the sum of its proper divisors (338497200).

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

136784880 is a wasteful number, since it uses less digits than its factorization.

136784880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6599 (or 6590 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 136784880 is about 11695.5068295478. The cubic root of 136784880 is about 515.2437090792.

The spelling of 136784880 in words is "one hundred thirty-six million, seven hundred eighty-four thousand, eight hundred eighty".