134496000 has 216 divisors, whose sum is σ = 484992144. Its totient is φ = 35788800.

The previous prime is 134495989. The next prime is 134496007. The reversal of 134496000 is 694431.

134496000 is a `hidden beast` number, since 13 + 4 + 49 + 600 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134496007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287767 + ... + 288233.

It is an arithmetic number, because the mean of its divisors is an integer number (2245334).

Almost surely, 2^134496000 is an apocalyptic number.

134496000 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 134496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242496072).

134496000 is an abundant number, since it is smaller than the sum of its proper divisors (350496144).

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

134496000 is an equidigital number, since it uses as much as digits as its factorization.

134496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 134496000 is about 11597.2410512156. The cubic root of 134496000 is about 512.3535968889.

It can be divided in two parts, 1344 and 96000, that added together give a square (97344 = 312²).

The spelling of 134496000 in words is "one hundred thirty-four million, four hundred ninety-six thousand".