148005461700 has 216 divisors, whose sum is σ = 468241337928. Its totient is φ = 39101736960.

The previous prime is 148005461689. The next prime is 148005461707. The reversal of 148005461700 is 7164500841.

It is a happy number.

148005461700 is a `hidden beast` number, since 1 + 48 + 0 + 0 + 546 + 1 + 70 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 28644885504 + 119360576196 = 169248^2 + 345486^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (148005461707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48732582 + ... + 48735618.

Almost surely, 2^148005461700 is an apocalyptic number.

148005461700 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 148005461700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234120668964).

148005461700 is an abundant number, since it is smaller than the sum of its proper divisors (320235876228).

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

148005461700 is a wasteful number, since it uses less digits than its factorization.

148005461700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 148005461700 in words is "one hundred forty-eight billion, five million, four hundred sixty-one thousand, seven hundred".