148284864 has 448 divisors, whose sum is σ = 573511680. Its totient is φ = 36495360.

The previous prime is 148284847. The next prime is 148284881. The reversal of 148284864 is 468482841.

148284864 is a `hidden beast` number, since 148 + 28 + 486 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (148284847) and next prime (148284881).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3616684 + ... + 3616724.

It is an arithmetic number, because the mean of its divisors is an integer number (1280160).

Almost surely, 2^148284864 is an apocalyptic number.

148284864 is a gapful number since it is divisible by the number (14) 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 148284864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286755840).

148284864 is an abundant number, since it is smaller than the sum of its proper divisors (425226816).

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

148284864 is a wasteful number, since it uses less digits than its factorization.

148284864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 148284864 is about 12177.2272706064. The cubic root of 148284864 is about 529.2964011114.

The spelling of 148284864 in words is "one hundred forty-eight million, two hundred eighty-four thousand, eight hundred sixty-four".