134415135360 has 384 divisors, whose sum is σ = 528368780160. Its totient is φ = 31168389120.

The previous prime is 134415135341. The next prime is 134415135403. The reversal of 134415135360 is 63531514431.

134415135360 is a `hidden beast` number, since 1 + 34 + 4 + 1 + 513 + 53 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×134415135360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1411162 + ... + 1503398.

It is an arithmetic number, because the mean of its divisors is an integer number (1375960365).

Almost surely, 2^134415135360 is an apocalyptic number.

134415135360 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 134415135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264184390080).

134415135360 is an abundant number, since it is smaller than the sum of its proper divisors (393953644800).

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

134415135360 is a wasteful number, since it uses less digits than its factorization.

134415135360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92296 (or 92281 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 134415135360 its reverse (63531514431), we get a palindrome (197946649791).

The spelling of 134415135360 in words is "one hundred thirty-four billion, four hundred fifteen million, one hundred thirty-five thousand, three hundred sixty".