149598400 has 252 divisors, whose sum is σ = 455999088. Its totient is φ = 47278080.

The previous prime is 149598391. The next prime is 149598401. The reversal of 149598400 is 4895941.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (149598401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4043182 + ... + 4043218.

Almost surely, 2^149598400 is an apocalyptic number.

149598400 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 149598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227999544).

149598400 is an abundant number, since it is smaller than the sum of its proper divisors (306400688).

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

149598400 is a wasteful number, since it uses less digits than its factorization.

149598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 149598400 is about 12231.0424739676. The cubic root of 149598400 is about 530.8546789116.

The spelling of 149598400 in words is "one hundred forty-nine million, five hundred ninety-eight thousand, four hundred".