149504 has 24 divisors (see below), whose sum is σ = 303030. Its totient is φ = 73728.

The previous prime is 149503. The next prime is 149519. The reversal of 149504 is 405941.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 123904 + 25600 = 352^2 + 160^2 .

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 149504.

It is not an unprimeable number, because it can be changed into a prime (149503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2012 + ... + 2084.

2¹⁴⁹⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151515).

149504 is an abundant number, since it is smaller than the sum of its proper divisors (153526).

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

149504 is an frugal number, since it uses more digits than its factorization.

149504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 149504 is about 386.6574711550. The cubic root of 149504 is about 53.0742994949.

The spelling of 149504 in words is "one hundred forty-nine thousand, five hundred four".