148205700 has 252 divisors, whose sum is σ = 512310960. Its totient is φ = 37091520.

The previous prime is 148205663. The next prime is 148205741. The reversal of 148205700 is 7502841.

148205700 is a `hidden beast` number, since 14 + 82 + 0 + 570 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 83 ways as a sum of consecutive naturals, for example, 1385047 + ... + 1385153.

It is an arithmetic number, because the mean of its divisors is an integer number (2032980).

Almost surely, 2^148205700 is an apocalyptic number.

148205700 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 148205700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256155480).

148205700 is an abundant number, since it is smaller than the sum of its proper divisors (364105260).

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

148205700 is a wasteful number, since it uses less digits than its factorization.

148205700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 148205700 is about 12173.9763430031. The cubic root of 148205700 is about 529.2021935214.

The spelling of 148205700 in words is "one hundred forty-eight million, two hundred five thousand, seven hundred".