148261200 has 60 divisors (see below), whose sum is σ = 474933888. Its totient is φ = 39536000.

The previous prime is 148261181. The next prime is 148261213. The reversal of 148261200 is 2162841.

148261200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 60576 + ... + 62975.

Almost surely, 2^148261200 is an apocalyptic number.

148261200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148261200 is an abundant number, since it is smaller than the sum of its proper divisors (326672688).

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

148261200 is a wasteful number, since it uses less digits than its factorization.

148261200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123572 (or 123561 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 148261200 is about 12176.2555820745. The cubic root of 148261200 is about 529.2682437391.

The spelling of 148261200 in words is "one hundred forty-eight million, two hundred sixty-one thousand, two hundred".