148512672 has 288 divisors, whose sum is σ = 543763584. Its totient is φ = 37324800.

The previous prime is 148512671. The next prime is 148512673. The reversal of 148512672 is 276215841.

It is an interprime number because it is at equal distance from previous prime (148512671) and next prime (148512673).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (148512671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 820422 + ... + 820602.

It is an arithmetic number, because the mean of its divisors is an integer number (1888068).

Almost surely, 2^148512672 is an apocalyptic number.

148512672 is a gapful number since it is divisible by the number (12) 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 148512672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271881792).

148512672 is an abundant number, since it is smaller than the sum of its proper divisors (395250912).

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

148512672 is a wasteful number, since it uses less digits than its factorization.

148512672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 241 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 148512672 is about 12186.5775343203. The cubic root of 148512672 is about 529.5673126900.

The spelling of 148512672 in words is "one hundred forty-eight million, five hundred twelve thousand, six hundred seventy-two".