136848960 has 224 divisors, whose sum is σ = 494507520. Its totient is φ = 35610624.

The previous prime is 136848949. The next prime is 136848961. The reversal of 136848960 is 69848631.

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

It is not an unprimeable number, because it can be changed into a prime (136848961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405912 + ... + 406248.

Almost surely, 2^136848960 is an apocalyptic number.

136848960 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 136848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247253760).

136848960 is an abundant number, since it is smaller than the sum of its proper divisors (357658560).

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

136848960 is a wasteful number, since it uses less digits than its factorization.

136848960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 136848960 is about 11698.2460223745. The cubic root of 136848960 is about 515.3241557446.

The spelling of 136848960 in words is "one hundred thirty-six million, eight hundred forty-eight thousand, nine hundred sixty".