136129248 has 120 divisors (see below), whose sum is σ = 414386280. Its totient is φ = 43787520.

The previous prime is 136129237. The next prime is 136129283. The reversal of 136129248 is 842921631.

136129248 is a `hidden beast` number, since 1 + 361 + 292 + 4 + 8 = 666.

It is a super-2 number, since 2×136129248² = 37062344322091008, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74263 + ... + 76073.

It is an arithmetic number, because the mean of its divisors is an integer number (3453219).

Almost surely, 2^136129248 is an apocalyptic number.

136129248 is a gapful number since it is divisible by the number (18) 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 136129248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207193140).

136129248 is an abundant number, since it is smaller than the sum of its proper divisors (278257032).

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

136129248 is a wasteful number, since it uses less digits than its factorization.

136129248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1845 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 136129248 is about 11667.4439360127. The cubic root of 136129248 is about 514.4191748869.

The spelling of 136129248 in words is "one hundred thirty-six million, one hundred twenty-nine thousand, two hundred forty-eight".