136293840 has 320 divisors, whose sum is σ = 512467200. Its totient is φ = 33592320.

The previous prime is 136293803. The next prime is 136293851. The reversal of 136293840 is 48392631.

136293840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 136293795 and 136293804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3324220 + ... + 3324260.

It is an arithmetic number, because the mean of its divisors is an integer number (1601460).

Almost surely, 2^136293840 is an apocalyptic number.

136293840 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 136293840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256233600).

136293840 is an abundant number, since it is smaller than the sum of its proper divisors (376173360).

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

136293840 is an equidigital number, since it uses as much as digits as its factorization.

136293840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 136293840 is about 11674.4952781694. The cubic root of 136293840 is about 514.6264170993.

The spelling of 136293840 in words is "one hundred thirty-six million, two hundred ninety-three thousand, eight hundred forty".