1354144000 has 144 divisors (see below), whose sum is σ = 3680966016. Its totient is φ = 492288000.

The previous prime is 1354143979. The next prime is 1354144013. The reversal of 1354144000 is 4414531.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350077 + ... + 353923.

It is an arithmetic number, because the mean of its divisors is an integer number (25562264).

Almost surely, 2^1354144000 is an apocalyptic number.

1354144000 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 1354144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840483008).

1354144000 is an abundant number, since it is smaller than the sum of its proper divisors (2326822016).

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

1354144000 is an equidigital number, since it uses as much as digits as its factorization.

1354144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3889 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 1354144000 is about 36798.6956290573. The cubic root of 1354144000 is about 1106.3391556775.

Adding to 1354144000 its reverse (4414531), we get a palindrome (1358558531).

The spelling of 1354144000 in words is "one billion, three hundred fifty-four million, one hundred forty-four thousand".