148338624 has 224 divisors, whose sum is σ = 488005120. Its totient is φ = 38817792.

The previous prime is 148338623. The next prime is 148338709. The reversal of 148338624 is 426833841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148338623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 944754 + ... + 944910.

Almost surely, 2^148338624 is an apocalyptic number.

148338624 is a gapful number since it is divisible by the number (14) 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 148338624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244002560).

148338624 is an abundant number, since it is smaller than the sum of its proper divisors (339666496).

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

148338624 is a wasteful number, since it uses less digits than its factorization.

148338624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 225 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 148338624 is about 12179.4344696295. The cubic root of 148338624 is about 529.3603580470.

The spelling of 148338624 in words is "one hundred forty-eight million, three hundred thirty-eight thousand, six hundred twenty-four".