148936320 has 480 divisors, whose sum is σ = 609818220. Its totient is φ = 34504704.

The previous prime is 148936309. The next prime is 148936331. The reversal of 148936320 is 23639841.

148936320 is a `hidden beast` number, since 14 + 8 + 9 + 3 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (148936309) and next prime (148936331).

It can be written as a sum of positive squares in 6 ways, for example, as 30735936 + 118200384 = 5544^2 + 10872^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8760952 + ... + 8760968.

Almost surely, 2^148936320 is an apocalyptic number.

148936320 is a gapful number since it is divisible by the number (10) 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 148936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304909110).

148936320 is an abundant number, since it is smaller than the sum of its proper divisors (460881900).

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

148936320 is a wasteful number, since it uses less digits than its factorization.

148936320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 148936320 is about 12203.9469025394. The cubic root of 148936320 is about 530.0703834378.

The spelling of 148936320 in words is "one hundred forty-eight million, nine hundred thirty-six thousand, three hundred twenty".