148675600 has 60 divisors (see below), whose sum is σ = 363984516. Its totient is φ = 58339840.

The previous prime is 148675577. The next prime is 148675607. The reversal of 148675600 is 6576841.

It can be written as a sum of positive squares in 6 ways, for example, as 3810304 + 144865296 = 1952^2 + 12036^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 148675600.

It is not an unprimeable number, because it can be changed into a prime (148675607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17694 + ... + 24706.

Almost surely, 2^148675600 is an apocalyptic number.

148675600 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 148675600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181992258).

148675600 is an abundant number, since it is smaller than the sum of its proper divisors (215308916).

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

148675600 is a wasteful number, since it uses less digits than its factorization.

148675600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7084 (or 7073 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 148675600 is about 12193.2604335346. The cubic root of 148675600 is about 529.7608984384.

The spelling of 148675600 in words is "one hundred forty-eight million, six hundred seventy-five thousand, six hundred".