149952 has 56 divisors (see below), whose sum is σ = 438912. Its totient is φ = 44800.

The previous prime is 149939. The next prime is 149953. The reversal of 149952 is 259941.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149953) by changing a digit.

149952 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 7 ways as a sum of consecutive naturals, for example, 2077 + ... + 2147.

2¹⁴⁹⁹⁵² is an apocalyptic number.

149952 is a gapful number since it is divisible by the number (12) 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 149952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219456).

149952 is an abundant number, since it is smaller than the sum of its proper divisors (288960).

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

149952 is a wasteful number, since it uses less digits than its factorization.

149952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 87 counting only the distinct ones).

The product of its digits is 3240, while the sum is 30.

The square root of 149952 is about 387.2363619290. The cubic root of 149952 is about 53.1272603421.

It can be divided in two parts, 1499 and 52, that added together give a palindrome (1551).

The spelling of 149952 in words is "one hundred forty-nine thousand, nine hundred fifty-two".