147126144 has 128 divisors (see below), whose sum is σ = 434079360. Its totient is φ = 43776000.

The previous prime is 147126137. The next prime is 147126151. The reversal of 147126144 is 441621741.

It is an interprime number because it is at equal distance from previous prime (147126137) and next prime (147126151).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×147126144² = 43292204496617472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257379 + ... + 257949.

It is an arithmetic number, because the mean of its divisors is an integer number (3391245).

Almost surely, 2^147126144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147126144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217039680).

147126144 is an abundant number, since it is smaller than the sum of its proper divisors (286953216).

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

147126144 is a wasteful number, since it uses less digits than its factorization.

147126144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 648 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 147126144 is about 12129.5566283356. The cubic root of 147126144 is about 527.9141274488.

Adding to 147126144 its reverse (441621741), we get a palindrome (588747885).

The spelling of 147126144 in words is "one hundred forty-seven million, one hundred twenty-six thousand, one hundred forty-four".