134135527680 has 1296 divisors, whose sum is σ = 595421124480. Its totient is φ = 27282309120.

The previous prime is 134135527679. The next prime is 134135527793. The reversal of 134135527680 is 86725531431.

It is a happy number.

134135527680 is a `hidden beast` number, since 1 + 3 + 4 + 13 + 552 + 7 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 575688844 + ... + 575689076.

It is an arithmetic number, because the mean of its divisors is an integer number (459429880).

Almost surely, 2^134135527680 is an apocalyptic number.

134135527680 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 134135527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297710562240).

134135527680 is an abundant number, since it is smaller than the sum of its proper divisors (461285596800).

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

134135527680 is a wasteful number, since it uses less digits than its factorization.

134135527680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 134135527680 in words is "one hundred thirty-four billion, one hundred thirty-five million, five hundred twenty-seven thousand, six hundred eighty".