136893240 has 320 divisors, whose sum is σ = 526901760. Its totient is φ = 31553280.

The previous prime is 136893227. The next prime is 136893247. The reversal of 136893240 is 42398631.

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 = 136893195 and 136893204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136893247) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 819637 + ... + 819803.

It is an arithmetic number, because the mean of its divisors is an integer number (1646568).

Almost surely, 2^136893240 is an apocalyptic number.

136893240 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 136893240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263450880).

136893240 is an abundant number, since it is smaller than the sum of its proper divisors (390008520).

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

136893240 is a wasteful number, since it uses less digits than its factorization.

136893240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 211 counting only the distinct ones).

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

The square root of 136893240 is about 11700.1384607192. The cubic root of 136893240 is about 515.3797306230.

The spelling of 136893240 in words is "one hundred thirty-six million, eight hundred ninety-three thousand, two hundred forty".