149328400 has 135 divisors (see below), whose sum is σ = 396922791. Its totient is φ = 53963520.

The previous prime is 149328359. The next prime is 149328409. The reversal of 149328400 is 4823941.

The square root of 149328400 is 12220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 38489616 + 110838784 = 6204^2 + 10528^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (149328409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3177177 + ... + 3177223.

Almost surely, 2^149328400 is an apocalyptic number.

149328400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

149328400 is the 12220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149328400

149328400 is an abundant number, since it is smaller than the sum of its proper divisors (247594391).

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

149328400 is a wasteful number, since it uses less digits than its factorization.

149328400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The cubic root of 149328400 is about 530.5351187220.

It can be divided in two parts, 14932 and 8400, that added together give a palindrome (23332).

The spelling of 149328400 in words is "one hundred forty-nine million, three hundred twenty-eight thousand, four hundred".