136248840 has 192 divisors, whose sum is σ = 545126400. Its totient is φ = 28740096.

The previous prime is 136248823. The next prime is 136248841. The reversal of 136248840 is 48842631.

136248840 is a `hidden beast` number, since 136 + 2 + 488 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 136248795 and 136248804.

It is not an unprimeable number, because it can be changed into a prime (136248841) 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 47 ways as a sum of consecutive naturals, for example, 30681 + ... + 34839.

It is an arithmetic number, because the mean of its divisors is an integer number (2839200).

Almost surely, 2^136248840 is an apocalyptic number.

136248840 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 136248840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272563200).

136248840 is an abundant number, since it is smaller than the sum of its proper divisors (408877560).

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

136248840 is a wasteful number, since it uses less digits than its factorization.

136248840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4196 (or 4189 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 136248840 is about 11672.5678408823. The cubic root of 136248840 is about 514.5697729694.

The spelling of 136248840 in words is "one hundred thirty-six million, two hundred forty-eight thousand, eight hundred forty".