134381520 has 360 divisors, whose sum is σ = 567291816. Its totient is φ = 28256256.

The previous prime is 134381473. The next prime is 134381531. The reversal of 134381520 is 25183431.

It is a happy number.

134381520 is a `hidden beast` number, since 134 + 3 + 8 + 1 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20575296 + 113806224 = 4536^2 + 10668^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 458494 + ... + 458786.

Almost surely, 2^134381520 is an apocalyptic number.

134381520 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 134381520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283645908).

134381520 is an abundant number, since it is smaller than the sum of its proper divisors (432910296).

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

134381520 is a wasteful number, since it uses less digits than its factorization.

134381520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 134381520 is about 11592.3043438309. The cubic root of 134381520 is about 512.2081876342.

The spelling of 134381520 in words is "one hundred thirty-four million, three hundred eighty-one thousand, five hundred twenty".