148645600 has 72 divisors (see below), whose sum is σ = 368132688. Its totient is φ = 58598400.

The previous prime is 148645571. The next prime is 148645621. The reversal of 148645600 is 6546841.

148645600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55492 + ... + 58108.

It is an arithmetic number, because the mean of its divisors is an integer number (5112954).

Almost surely, 2^148645600 is an apocalyptic number.

148645600 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 148645600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184066344).

148645600 is an abundant number, since it is smaller than the sum of its proper divisors (219487088).

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

148645600 is a wasteful number, since it uses less digits than its factorization.

148645600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 148645600 is about 12192.0301836897. The cubic root of 148645600 is about 529.7252640415.

The spelling of 148645600 in words is "one hundred forty-eight million, six hundred forty-five thousand, six hundred".