134465742351360 has 1408 divisors, whose sum is σ = 578976608471040. Its totient is φ = 28891202715648.

The previous prime is 134465742351323. The next prime is 134465742351361. The reversal of 134465742351360 is 63153247564431.

134465742351360 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 6 + 574 + 2 + 3 + 5 + 1 + 3 + 60 = 666.

It is a super-2 number, since 2×134465742351360² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 134465742351297 and 134465742351306.

It is not an unprimeable number, because it can be changed into a prime (134465742351361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14525839852 + ... + 14525849108.

Almost surely, 2^{134465742351360} is an apocalyptic number.

134465742351360 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 134465742351360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289488304235520).

134465742351360 is an abundant number, since it is smaller than the sum of its proper divisors (444510866119680).

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

134465742351360 is a wasteful number, since it uses less digits than its factorization.

134465742351360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10198 (or 10174 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 134465742351360 in words is "one hundred thirty-four trillion, four hundred sixty-five billion, seven hundred forty-two million, three hundred fifty-one thousand, three hundred sixty".