148800960 has 504 divisors, whose sum is σ = 653479008. Its totient is φ = 30412800.

The previous prime is 148800923. The next prime is 148800991. The reversal of 148800960 is 69008841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2439330 + ... + 2439390.

Almost surely, 2^148800960 is an apocalyptic number.

148800960 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 148800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326739504).

148800960 is an abundant number, since it is smaller than the sum of its proper divisors (504678048).

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

148800960 is a wasteful number, since it uses less digits than its factorization.

148800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 89 counting only the distinct ones).

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

The square root of 148800960 is about 12198.3998950682. The cubic root of 148800960 is about 529.9097508607.

It can be divided in two parts, 148 and 800960, that added together give a palindrome (801108).

The spelling of 148800960 in words is "one hundred forty-eight million, eight hundred thousand, nine hundred sixty".