148991328 has 72 divisors (see below), whose sum is σ = 438328800. Its totient is φ = 47948544.

The previous prime is 148991303. The next prime is 148991329. The reversal of 148991328 is 823199841.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148991329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 568 + ... + 17271.

It is an arithmetic number, because the mean of its divisors is an integer number (6087900).

Almost surely, 2^148991328 is an apocalyptic number.

148991328 is a gapful number since it is divisible by the number (18) 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 148991328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219164400).

148991328 is an abundant number, since it is smaller than the sum of its proper divisors (289337472).

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

148991328 is a wasteful number, since it uses less digits than its factorization.

148991328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17884 (or 17873 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 148991328 is about 12206.2003916043. The cubic root of 148991328 is about 530.1356339705.

The spelling of 148991328 in words is "one hundred forty-eight million, nine hundred ninety-one thousand, three hundred twenty-eight".