134822400 has 120 divisors (see below), whose sum is σ = 445504224. Its totient is φ = 35942400.

The previous prime is 134822381. The next prime is 134822419. The reversal of 134822400 is 4228431.

It is an interprime number because it is at equal distance from previous prime (134822381) and next prime (134822419).

It is a tau number, because it is divible by the number of its divisors (120).

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 11 ways as a sum of consecutive naturals, for example, 36645 + ... + 40155.

Almost surely, 2^134822400 is an apocalyptic number.

134822400 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 134822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222752112).

134822400 is an abundant number, since it is smaller than the sum of its proper divisors (310681824).

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

134822400 is an equidigital number, since it uses as much as digits as its factorization.

134822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3542 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 134822400 is about 11611.3048362361. The cubic root of 134822400 is about 512.7677284475.

The spelling of 134822400 in words is "one hundred thirty-four million, eight hundred twenty-two thousand, four hundred".