1449143136 has 288 divisors, whose sum is σ = 4960650240. Its totient is φ = 407586816.

The previous prime is 1449143131. The next prime is 1449143141. The reversal of 1449143136 is 6313419441.

It is an interprime number because it is at equal distance from previous prime (1449143131) and next prime (1449143141).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1449143136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1449143131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4299960 + ... + 4300296.

It is an arithmetic number, because the mean of its divisors is an integer number (17224480).

Almost surely, 2^1449143136 is an apocalyptic number.

1449143136 is a gapful number since it is divisible by the number (16) 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 1449143136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480325120).

1449143136 is an abundant number, since it is smaller than the sum of its proper divisors (3511507104).

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

1449143136 is an equidigital number, since it uses as much as digits as its factorization.

1449143136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 428 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 1449143136 is about 38067.6126911053. The cubic root of 1449143136 is about 1131.6281997226.

The spelling of 1449143136 in words is "one billion, four hundred forty-nine million, one hundred forty-three thousand, one hundred thirty-six".