149832 has 24 divisors (see below), whose sum is σ = 405990. Its totient is φ = 49920.

The previous prime is 149827. The next prime is 149837. The reversal of 149832 is 238941.

It is an interprime number because it is at equal distance from previous prime (149827) and next prime (149837).

It can be written as a sum of positive squares in only one way, i.e., 133956 + 15876 = 366^2 + 126^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is one of the 548 Lynch-Bell numbers.

It is a junction number, because it is equal to n+sod(n) for n = 149796 and 149805.

It is not an unprimeable number, because it can be changed into a prime (149837) by changing a digit.

149832 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 5 ways as a sum of consecutive naturals, for example, 969 + ... + 1112.

2¹⁴⁹⁸³² is an apocalyptic number.

149832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

149832 is an abundant number, since it is smaller than the sum of its proper divisors (256158).

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

149832 is a wasteful number, since it uses less digits than its factorization.

149832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093 (or 2086 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 149832 is about 387.0813867909. The cubic root of 149832 is about 53.1130847557.

The spelling of 149832 in words is "one hundred forty-nine thousand, eight hundred thirty-two".