148193280 has 240 divisors, whose sum is σ = 534757440. Its totient is φ = 38928384.

The previous prime is 148193257. The next prime is 148193317. The reversal of 148193280 is 82391841.

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

It is a super-2 number, since 2×148193280² = 43922496474316800, which contains 22 as substring.

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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2211807 + ... + 2211873.

It is an arithmetic number, because the mean of its divisors is an integer number (2228156).

Almost surely, 2^148193280 is an apocalyptic number.

148193280 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 148193280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267378720).

148193280 is an abundant number, since it is smaller than the sum of its proper divisors (386564160).

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

148193280 is an frugal number, since it uses more digits than its factorization.

148193280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 77 counting only the distinct ones).

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

The square root of 148193280 is about 12173.4662278252. The cubic root of 148193280 is about 529.1874102959.

The spelling of 148193280 in words is "one hundred forty-eight million, one hundred ninety-three thousand, two hundred eighty".