134880000 has 180 divisors, whose sum is σ = 450174648. Its totient is φ = 35840000.

The previous prime is 134879999. The next prime is 134880019. The reversal of 134880000 is 88431.

It is a super-2 number, since 2×134880000² = 36385228800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 479860 + ... + 480140.

Almost surely, 2^134880000 is an apocalyptic number.

134880000 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 134880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225087324).

134880000 is an abundant number, since it is smaller than the sum of its proper divisors (315294648).

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

134880000 is an frugal number, since it uses more digits than its factorization.

134880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 134880000 is about 11613.7849127664. The cubic root of 134880000 is about 512.8407410824.

The spelling of 134880000 in words is "one hundred thirty-four million, eight hundred eighty thousand".