134465760 has 288 divisors, whose sum is σ = 539911008. Its totient is φ = 30044160.

The previous prime is 134465759. The next prime is 134465783. The reversal of 134465760 is 67564431.

It is a happy number.

134465760 is a `hidden beast` number, since 134 + 465 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×134465760² = 36162081224755200, which contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205594 + ... + 206246.

It is an arithmetic number, because the mean of its divisors is an integer number (1874691).

Almost surely, 2^134465760 is an apocalyptic number.

134465760 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 134465760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269955504).

134465760 is an abundant number, since it is smaller than the sum of its proper divisors (405445248).

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

134465760 is a wasteful number, since it uses less digits than its factorization.

134465760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 134465760 is about 11595.9372195610. The cubic root of 134465760 is about 512.3151949188.

The spelling of 134465760 in words is "one hundred thirty-four million, four hundred sixty-five thousand, seven hundred sixty".