148668672 has 144 divisors (see below), whose sum is σ = 428258880. Its totient is φ = 45613056.

The previous prime is 148668671. The next prime is 148668683. The reversal of 148668672 is 276866841.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (774144) is a multiple of the sum of its prime factors (288).

It is not an unprimeable number, because it can be changed into a prime (148668671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 770208 + ... + 770400.

It is an arithmetic number, because the mean of its divisors is an integer number (2974020).

Almost surely, 2^148668672 is an apocalyptic number.

148668672 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 148668672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214129440).

148668672 is an abundant number, since it is smaller than the sum of its proper divisors (279590208).

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

148668672 is a wasteful number, since it uses less digits than its factorization.

148668672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 274 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 148668672 is about 12192.9763388600. The cubic root of 148668672 is about 529.7526696941.

The spelling of 148668672 in words is "one hundred forty-eight million, six hundred sixty-eight thousand, six hundred seventy-two".