148813920 has 144 divisors (see below), whose sum is σ = 537788160. Its totient is φ = 37343232.

The previous prime is 148813913. The next prime is 148813957. The reversal of 148813920 is 29318841.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21441 + ... + 27519.

It is an arithmetic number, because the mean of its divisors is an integer number (3734640).

Almost surely, 2^148813920 is an apocalyptic number.

148813920 is a gapful number since it is divisible by the number (10) 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 148813920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268894080).

148813920 is an abundant number, since it is smaller than the sum of its proper divisors (388974240).

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

148813920 is a wasteful number, since it uses less digits than its factorization.

148813920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6117 (or 6106 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 148813920 is about 12198.9311007153. The cubic root of 148813920 is about 529.9251347915.

The spelling of 148813920 in words is "one hundred forty-eight million, eight hundred thirteen thousand, nine hundred twenty".