149126600 has 72 divisors (see below), whose sum is σ = 403353090. Its totient is φ = 51125760.

The previous prime is 149126599. The next prime is 149126603. The reversal of 149126600 is 6621941.

It can be written as a sum of positive squares in 3 ways, for example, as 132756484 + 16370116 = 11522^2 + 4046^2 .

It is not an unprimeable number, because it can be changed into a prime (149126603) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2192 + ... + 17408.

Almost surely, 2^149126600 is an apocalyptic number.

149126600 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 149126600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201676545).

149126600 is an abundant number, since it is smaller than the sum of its proper divisors (254226490).

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

149126600 is a wasteful number, since it uses less digits than its factorization.

149126600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15247 (or 15231 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 149126600 is about 12211.7402527240. The cubic root of 149126600 is about 530.2960254428.

It can be divided in two parts, 14912 and 6600, that added together give a palindrome (21512).

The spelling of 149126600 in words is "one hundred forty-nine million, one hundred twenty-six thousand, six hundred".