134416800 has 432 divisors, whose sum is σ = 569963520. Its totient is φ = 30481920.

The previous prime is 134416787. The next prime is 134416847. The reversal of 134416800 is 8614431.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×134416800² = 36135752244480000, which contains 22 as substring.

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 Harshad number since it is a multiple of its sum of digits (27).

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 71 ways as a sum of consecutive naturals, for example, 1058337 + ... + 1058463.

It is an arithmetic number, because the mean of its divisors is an integer number (1319360).

Almost surely, 2^134416800 is an apocalyptic number.

134416800 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 134416800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284981760).

134416800 is an abundant number, since it is smaller than the sum of its proper divisors (435546720).

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

134416800 is a wasteful number, since it uses less digits than its factorization.

134416800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 134416800 is about 11593.8259431475. The cubic root of 134416800 is about 512.2530080919.

The spelling of 134416800 in words is "one hundred thirty-four million, four hundred sixteen thousand, eight hundred".