149032128 has 224 divisors, whose sum is σ = 481177600. Its totient is φ = 40642560.

The previous prime is 149032127. The next prime is 149032141. The reversal of 149032128 is 821230941.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 149032095 and 149032104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149032123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2041500 + ... + 2041572.

Almost surely, 2^149032128 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 149032128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240588800).

149032128 is an abundant number, since it is smaller than the sum of its proper divisors (332145472).

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

149032128 is an equidigital number, since it uses as much as digits as its factorization.

149032128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 149032128 is about 12207.8715589574. The cubic root of 149032128 is about 530.1840205894.

The spelling of 149032128 in words is "one hundred forty-nine million, thirty-two thousand, one hundred twenty-eight".