148968720 has 240 divisors, whose sum is σ = 530799360. Its totient is φ = 38817792.

The previous prime is 148968719. The next prime is 148968779. The reversal of 148968720 is 27869841.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1535712 + ... + 1535808.

It is an arithmetic number, because the mean of its divisors is an integer number (2211664).

Almost surely, 2^148968720 is an apocalyptic number.

148968720 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 148968720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265399680).

148968720 is an abundant number, since it is smaller than the sum of its proper divisors (381830640).

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

148968720 is an equidigital number, since it uses as much as digits as its factorization.

148968720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 148968720 is about 12205.2742697573. The cubic root of 148968720 is about 530.1088182875.

The spelling of 148968720 in words is "one hundred forty-eight million, nine hundred sixty-eight thousand, seven hundred twenty".