134638560 has 432 divisors, whose sum is σ = 569159136. Its totient is φ = 28366848.

The previous prime is 134638519. The next prime is 134638571. The reversal of 134638560 is 65836431.

134638560 is a `hidden beast` number, since 1 + 34 + 63 + 8 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3638862 + ... + 3638898.

It is an arithmetic number, because the mean of its divisors is an integer number (1317498).

Almost surely, 2^134638560 is an apocalyptic number.

134638560 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 134638560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284579568).

134638560 is an abundant number, since it is smaller than the sum of its proper divisors (434520576).

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

134638560 is a wasteful number, since it uses less digits than its factorization.

134638560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 134638560 is about 11603.3857127995. The cubic root of 134638560 is about 512.5345572573.

The spelling of 134638560 in words is "one hundred thirty-four million, six hundred thirty-eight thousand, five hundred sixty".