144736128 has 48 divisors (see below), whose sum is σ = 416496600. Its totient is φ = 48244992.

The previous prime is 144736099. The next prime is 144736139. The reversal of 144736128 is 821637441.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 144736092 and 144736101.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 61668 + ... + 63971.

Almost surely, 2^144736128 is an apocalyptic number.

144736128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

144736128 is an abundant number, since it is smaller than the sum of its proper divisors (271760472).

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

144736128 is a wasteful number, since it uses less digits than its factorization.

144736128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125659 (or 125644 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 144736128 is about 12030.6329010572. The cubic root of 144736128 is about 525.0399098912.

The spelling of 144736128 in words is "one hundred forty-four million, seven hundred thirty-six thousand, one hundred twenty-eight".