136315120 has 40 divisors (see below), whose sum is σ = 333617040. Its totient is φ = 51655680.

The previous prime is 136315103. The next prime is 136315121. The reversal of 136315120 is 21513631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×136315120² = 37163623881228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 136315091 and 136315100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136315121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43321 + ... + 46360.

It is an arithmetic number, because the mean of its divisors is an integer number (8340426).

Almost surely, 2^136315120 is an apocalyptic number.

136315120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136315120 is an abundant number, since it is smaller than the sum of its proper divisors (197301920).

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

136315120 is a wasteful number, since it uses less digits than its factorization.

136315120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89713 (or 89707 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 136315120 is about 11675.4066310343. The cubic root of 136315120 is about 514.6531991369.

Adding to 136315120 its reverse (21513631), we get a palindrome (157828751).

The spelling of 136315120 in words is "one hundred thirty-six million, three hundred fifteen thousand, one hundred twenty".