148764672 has 144 divisors (see below), whose sum is σ = 491465520. Its totient is φ = 42467328.

The previous prime is 148764641. The next prime is 148764683. The reversal of 148764672 is 276467841.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128448 + ... + 129600.

It is an arithmetic number, because the mean of its divisors is an integer number (3412955).

Almost surely, 2^148764672 is an apocalyptic number.

148764672 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 148764672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245732760).

148764672 is an abundant number, since it is smaller than the sum of its proper divisors (342700848).

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

148764672 is a wasteful number, since it uses less digits than its factorization.

148764672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1165 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 148764672 is about 12196.9123961763. The cubic root of 148764672 is about 529.8666711019.

The spelling of 148764672 in words is "one hundred forty-eight million, seven hundred sixty-four thousand, six hundred seventy-two".