148365072 has 120 divisors (see below), whose sum is σ = 440849760. Its totient is φ = 46448640.

The previous prime is 148365071. The next prime is 148365121. The reversal of 148365072 is 270563841.

148365072 is a `hidden beast` number, since 148 + 3 + 6 + 507 + 2 = 666.

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 (148365071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 577168 + ... + 577424.

It is an arithmetic number, because the mean of its divisors is an integer number (3673748).

Almost surely, 2^148365072 is an apocalyptic number.

148365072 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 148365072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220424880).

148365072 is an abundant number, since it is smaller than the sum of its proper divisors (292484688).

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

148365072 is a wasteful number, since it uses less digits than its factorization.

148365072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 148365072 is about 12180.5201859362. The cubic root of 148365072 is about 529.3918169042.

The spelling of 148365072 in words is "one hundred forty-eight million, three hundred sixty-five thousand, seventy-two".