149292 has 72 divisors (see below), whose sum is σ = 458640. Its totient is φ = 40320.

The previous prime is 149287. The next prime is 149297. The reversal of 149292 is 292941.

It is an interprime number because it is at equal distance from previous prime (149287) and next prime (149297).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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 a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (149297) by changing a digit.

149292 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 23 ways as a sum of consecutive naturals, for example, 5134 + ... + 5162.

It is an arithmetic number, because the mean of its divisors is an integer number (6370).

2¹⁴⁹²⁹² is an apocalyptic number.

149292 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 149292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229320).

149292 is an abundant number, since it is smaller than the sum of its proper divisors (309348).

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

149292 is a wasteful number, since it uses less digits than its factorization.

149292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 58 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 149292 is about 386.3832294497. The cubic root of 149292 is about 53.0492007816.

It can be divided in two parts, 149 and 292, that added together give a square (441 = 21²).

The spelling of 149292 in words is "one hundred forty-nine thousand, two hundred ninety-two".