144746316 has 144 divisors (see below), whose sum is σ = 444208128. Its totient is φ = 39139200.

The previous prime is 144746297. The next prime is 144746353. The reversal of 144746316 is 613647441.

144746316 is a `hidden beast` number, since 14 + 4 + 7 + 4 + 631 + 6 = 666.

It is a super-3 number, since 3×144746316³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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 47 ways as a sum of consecutive naturals, for example, 159135 + ... + 160041.

Almost surely, 2^144746316 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 144746316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222104064).

144746316 is an abundant number, since it is smaller than the sum of its proper divisors (299461812).

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

144746316 is a wasteful number, since it uses less digits than its factorization.

144746316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 967 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 144746316 is about 12031.0563127267. The cubic root of 144746316 is about 525.0522288175.

The spelling of 144746316 in words is "one hundred forty-four million, seven hundred forty-six thousand, three hundred sixteen".