134581440 has 168 divisors, whose sum is σ = 497232432. Its totient is φ = 30750720.

The previous prime is 134581417. The next prime is 134581451. The reversal of 134581440 is 44185431.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×134581440³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 134581398 and 134581407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45610 + ... + 48470.

Almost surely, 2^134581440 is an apocalyptic number.

134581440 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 134581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248616216).

134581440 is an abundant number, since it is smaller than the sum of its proper divisors (362650992).

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

134581440 is a wasteful number, since it uses less digits than its factorization.

134581440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2895 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 134581440 is about 11600.9241011223. The cubic root of 134581440 is about 512.4620665955.

The spelling of 134581440 in words is "one hundred thirty-four million, five hundred eighty-one thousand, four hundred forty".