148387968 has 96 divisors (see below), whose sum is σ = 452179260. Its totient is φ = 46546944.

The previous prime is 148387933. The next prime is 148387997. The reversal of 148387968 is 869783841.

It can be written as a sum of positive squares in 2 ways, for example, as 142277184 + 6110784 = 11928^2 + 2472^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15796 + ... + 23372.

Almost surely, 2^148387968 is an apocalyptic number.

148387968 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 148387968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226089630).

148387968 is an abundant number, since it is smaller than the sum of its proper divisors (303791292).

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

148387968 is a wasteful number, since it uses less digits than its factorization.

148387968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7614 (or 7599 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 148387968 is about 12181.4600110167. The cubic root of 148387968 is about 529.4190477778.

The spelling of 148387968 in words is "one hundred forty-eight million, three hundred eighty-seven thousand, nine hundred sixty-eight".