134654952960 has 1280 divisors, whose sum is σ = 560021299200. Its totient is φ = 30346444800.

The previous prime is 134654952941. The next prime is 134654952983. The reversal of 134654952960 is 69259456431.

134654952960 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 54 + 9 + 529 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 = 134654952897 and 134654952906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 683527582 + ... + 683527778.

It is an arithmetic number, because the mean of its divisors is an integer number (437516640).

Almost surely, 2^134654952960 is an apocalyptic number.

134654952960 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 134654952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280010649600).

134654952960 is an abundant number, since it is smaller than the sum of its proper divisors (425366346240).

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

134654952960 is a wasteful number, since it uses less digits than its factorization.

134654952960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 134654952960 in words is "one hundred thirty-four billion, six hundred fifty-four million, nine hundred fifty-two thousand, nine hundred sixty".