136267040 has 192 divisors, whose sum is σ = 406425600. Its totient is φ = 42900480.

The previous prime is 136267013. The next prime is 136267057. The reversal of 136267040 is 40762631.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 136266994 and 136267012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 713345 + ... + 713535.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800).

Almost surely, 2^136267040 is an apocalyptic number.

136267040 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 136267040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203212800).

136267040 is an abundant number, since it is smaller than the sum of its proper divisors (270158560).

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

136267040 is a wasteful number, since it uses less digits than its factorization.

136267040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 136267040 is about 11673.3474205131. The cubic root of 136267040 is about 514.5926838749.

The spelling of 136267040 in words is "one hundred thirty-six million, two hundred sixty-seven thousand, forty".