136833840 has 320 divisors, whose sum is σ = 554964480. Its totient is φ = 30551040.

The previous prime is 136833817. The next prime is 136833857. The reversal of 136833840 is 48338631.

It is a happy number.

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 = 136833795 and 136833804.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 308659 + ... + 309101.

It is an arithmetic number, because the mean of its divisors is an integer number (1734264).

Almost surely, 2^136833840 is an apocalyptic number.

136833840 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 136833840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277482240).

136833840 is an abundant number, since it is smaller than the sum of its proper divisors (418130640).

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

136833840 is a wasteful number, since it uses less digits than its factorization.

136833840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 477 counting only the distinct ones).

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

The square root of 136833840 is about 11697.5997537956. The cubic root of 136833840 is about 515.3051762112.

The spelling of 136833840 in words is "one hundred thirty-six million, eight hundred thirty-three thousand, eight hundred forty".