149970600 has 432 divisors, whose sum is σ = 597366900. Its totient is φ = 33546240.

The previous prime is 149970577. The next prime is 149970637. The reversal of 149970600 is 6079941.

149970600 is a `hidden beast` number, since 1 + 49 + 9 + 7 + 0 + 600 = 666.

149970600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 18 ways, for example, as 19873764 + 130096836 = 4458^2 + 11406^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5171386 + ... + 5171414.

Almost surely, 2^149970600 is an apocalyptic number.

149970600 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 149970600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298683450).

149970600 is an abundant number, since it is smaller than the sum of its proper divisors (447396300).

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

149970600 is a wasteful number, since it uses less digits than its factorization.

149970600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 149970600 is about 12246.2484051239. The cubic root of 149970600 is about 531.2945688098.

The spelling of 149970600 in words is "one hundred forty-nine million, nine hundred seventy thousand, six hundred".