148405968 has 60 divisors (see below), whose sum is σ = 416661700. Its totient is φ = 49310208.

The previous prime is 148405967. The next prime is 148405981. The reversal of 148405968 is 869504841.

148405968 is a `hidden beast` number, since 14 + 8 + 40 + 596 + 8 = 666.

148405968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 115089984 + 33315984 = 10728^2 + 5772^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148405967) 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, 48780 + ... + 51732.

Almost surely, 2^148405968 is an apocalyptic number.

148405968 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 148405968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208330850).

148405968 is an abundant number, since it is smaller than the sum of its proper divisors (268255732).

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

148405968 is a wasteful number, since it uses less digits than its factorization.

148405968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3316 (or 3307 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 148405968 is about 12182.1988163057. The cubic root of 148405968 is about 529.4404537307.

The spelling of 148405968 in words is "one hundred forty-eight million, four hundred five thousand, nine hundred sixty-eight".