149479200 has 216 divisors, whose sum is σ = 568002708. Its totient is φ = 36771840.

The previous prime is 149479199. The next prime is 149479217. The reversal of 149479200 is 2974941.

It can be written as a sum of positive squares in 6 ways, for example, as 12027024 + 137452176 = 3468^2 + 11724^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 35 ways as a sum of consecutive naturals, for example, 92802 + ... + 94398.

Almost surely, 2^149479200 is an apocalyptic number.

149479200 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 149479200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284001354).

149479200 is an abundant number, since it is smaller than the sum of its proper divisors (418523508).

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

149479200 is a wasteful number, since it uses less digits than its factorization.

149479200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 149479200 is about 12226.1686557973. The cubic root of 149479200 is about 530.7136464500.

The spelling of 149479200 in words is "one hundred forty-nine million, four hundred seventy-nine thousand, two hundred".