149152 has 24 divisors (see below), whose sum is σ = 302400. Its totient is φ = 72384.

The previous prime is 149143. The next prime is 149153. The reversal of 149152 is 251941.

It is not an unprimeable number, because it can be changed into a prime (149153) by changing a digit.

149152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1849 + ... + 1927.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2¹⁴⁹¹⁵² 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 149152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

149152 is an abundant number, since it is smaller than the sum of its proper divisors (153248).

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

149152 is an equidigital number, since it uses as much as digits as its factorization.

149152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 140 counting only the distinct ones).

The product of its digits is 360, while the sum is 22.

The square root of 149152 is about 386.2020196736. The cubic root of 149152 is about 53.0326131305.

The spelling of 149152 in words is "one hundred forty-nine thousand, one hundred fifty-two".