136535040 has 132 divisors (see below), whose sum is σ = 473250024. Its totient is φ = 36397056.

The previous prime is 136535017. The next prime is 136535057. The reversal of 136535040 is 40535631.

136535040 is a `hidden beast` number, since 1 + 3 + 653 + 5 + 0 + 4 + 0 = 666.

It is a super-3 number, since 3×136535040³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 136534995 and 136535013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44599 + ... + 47561.

Almost surely, 2^136535040 is an apocalyptic number.

136535040 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 136535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236625012).

136535040 is an abundant number, since it is smaller than the sum of its proper divisors (336714984).

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

136535040 is a wasteful number, since it uses less digits than its factorization.

136535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 136535040 is about 11684.8209228897. The cubic root of 136535040 is about 514.9298173127.

The spelling of 136535040 in words is "one hundred thirty-six million, five hundred thirty-five thousand, forty".