136784040 has 128 divisors (see below), whose sum is σ = 457488000. Its totient is φ = 32514048.

The previous prime is 136784029. The next prime is 136784047. The reversal of 136784040 is 40487631.

It is a junction number, because it is equal to n+sod(n) for n = 136783992 and 136784010.

It is not an unprimeable number, because it can be changed into a prime (136784047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36996 + ... + 40524.

It is an arithmetic number, because the mean of its divisors is an integer number (3574125).

Almost surely, 2^136784040 is an apocalyptic number.

136784040 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 136784040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228744000).

136784040 is an abundant number, since it is smaller than the sum of its proper divisors (320703960).

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

136784040 is a wasteful number, since it uses less digits than its factorization.

136784040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3579 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 136784040 is about 11695.4709182658. The cubic root of 136784040 is about 515.2426543681.

The spelling of 136784040 in words is "one hundred thirty-six million, seven hundred eighty-four thousand, forty".