144631936 has 32 divisors (see below), whose sum is σ = 291801600. Its totient is φ = 71395584.

The previous prime is 144631913. The next prime is 144631943. The reversal of 144631936 is 639136441.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×144631936² = 41836793822216192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144631895 and 144631904.

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 3 ways as a sum of consecutive naturals, for example, 2961 + ... + 17263.

It is an arithmetic number, because the mean of its divisors is an integer number (9118800).

Almost surely, 2^144631936 is an apocalyptic number.

144631936 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 144631936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145900800).

144631936 is an abundant number, since it is smaller than the sum of its proper divisors (147169664).

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

144631936 is an equidigital number, since it uses as much as digits as its factorization.

144631936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14396 (or 14384 counting only the distinct ones).

The product of its digits is 46656, while the sum is 37.

The square root of 144631936 is about 12026.3018422123. The cubic root of 144631936 is about 524.9138918490.

The spelling of 144631936 in words is "one hundred forty-four million, six hundred thirty-one thousand, nine hundred thirty-six".