147774144 has 112 divisors (see below), whose sum is σ = 457411328. Its totient is φ = 41223168.

The previous prime is 147774131. The next prime is 147774167. The reversal of 147774144 is 441477741.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56514 + ... + 59070.

Almost surely, 2^147774144 is an apocalyptic number.

147774144 is a gapful number since it is divisible by the number (14) 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 147774144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228705664).

147774144 is an abundant number, since it is smaller than the sum of its proper divisors (309637184).

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

147774144 is a wasteful number, since it uses less digits than its factorization.

147774144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 2612 counting only the distinct ones).

The product of its digits is 87808, while the sum is 39.

The square root of 147774144 is about 12156.2388920258. The cubic root of 147774144 is about 528.6880378297.

The spelling of 147774144 in words is "one hundred forty-seven million, seven hundred seventy-four thousand, one hundred forty-four".