134615315120 has 320 divisors, whose sum is σ = 389855047680. Its totient is φ = 42541977600.

The previous prime is 134615315057. The next prime is 134615315173. The reversal of 134615315120 is 21513516431.

It is a super-2 number, since 2×134615315120² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13116551 + ... + 13126809.

It is an arithmetic number, because the mean of its divisors is an integer number (1218297024).

Almost surely, 2^134615315120 is an apocalyptic number.

134615315120 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 134615315120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194927523840).

134615315120 is an abundant number, since it is smaller than the sum of its proper divisors (255239732560).

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

134615315120 is a wasteful number, since it uses less digits than its factorization.

134615315120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10364 (or 10358 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The spelling of 134615315120 in words is "one hundred thirty-four billion, six hundred fifteen million, three hundred fifteen thousand, one hundred twenty".