148180032 has 336 divisors, whose sum is σ = 572487552. Its totient is φ = 35389440.

The previous prime is 148180009. The next prime is 148180033. The reversal of 148180032 is 230081841.

148180032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×148180032³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 148179978 and 148180005.

It is not an unprimeable number, because it can be changed into a prime (148180033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576448 + ... + 576704.

It is an arithmetic number, because the mean of its divisors is an integer number (1703832).

Almost surely, 2^148180032 is an apocalyptic number.

148180032 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 148180032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286243776).

148180032 is an abundant number, since it is smaller than the sum of its proper divisors (424307520).

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

148180032 is a wasteful number, since it uses less digits than its factorization.

148180032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 148180032 is about 12172.9220814067. The cubic root of 148180032 is about 529.1716406116.

The spelling of 148180032 in words is "one hundred forty-eight million, one hundred eighty thousand, thirty-two".