148461312 has 72 divisors (see below), whose sum is σ = 401727760. Its totient is φ = 48660480.

The previous prime is 148461311. The next prime is 148461319. The reversal of 148461312 is 213164841.

It is a super-2 number, since 2×148461312² = 44081522321522688, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 148461312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148461311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45264 + ... + 48432.

Almost surely, 2^148461312 is an apocalyptic number.

148461312 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 148461312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200863880).

148461312 is an abundant number, since it is smaller than the sum of its proper divisors (253266448).

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

148461312 is an equidigital number, since it uses as much as digits as its factorization.

148461312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3249 (or 3235 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 148461312 is about 12184.4701156841. The cubic root of 148461312 is about 529.5062590601.

The spelling of 148461312 in words is "one hundred forty-eight million, four hundred sixty-one thousand, three hundred twelve".