136266480 has 240 divisors, whose sum is σ = 550917120. Its totient is φ = 29486592.

The previous prime is 136266479. The next prime is 136266601. The reversal of 136266480 is 84662631.

136266480 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 6 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 95049 + ... + 96471.

It is an arithmetic number, because the mean of its divisors is an integer number (2295488).

Almost surely, 2^136266480 is an apocalyptic number.

136266480 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 136266480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275458560).

136266480 is an abundant number, since it is smaller than the sum of its proper divisors (414650640).

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

136266480 is a wasteful number, since it uses less digits than its factorization.

136266480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 136266480 is about 11673.3234342239. The cubic root of 136266480 is about 514.5919789544.

The spelling of 136266480 in words is "one hundred thirty-six million, two hundred sixty-six thousand, four hundred eighty".