134131680 has 192 divisors, whose sum is σ = 478094400. Its totient is φ = 35112960.

The previous prime is 134131667. The next prime is 134131687. The reversal of 134131680 is 86131431.

134131680 is a `hidden beast` number, since 1 + 341 + 316 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134131687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263266 + ... + 263774.

It is an arithmetic number, because the mean of its divisors is an integer number (2490075).

Almost surely, 2^134131680 is an apocalyptic number.

134131680 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 134131680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239047200).

134131680 is an abundant number, since it is smaller than the sum of its proper divisors (343962720).

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

134131680 is a wasteful number, since it uses less digits than its factorization.

134131680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 134131680 is about 11581.5232158814. The cubic root of 134131680 is about 511.8905609192.

The spelling of 134131680 in words is "one hundred thirty-four million, one hundred thirty-one thousand, six hundred eighty".