149792 has 24 divisors (see below), whose sum is σ = 306432. Its totient is φ = 72000.

The previous prime is 149791. The next prime is 149803. The reversal of 149792 is 297941.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (149791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 917 + ... + 1067.

It is an arithmetic number, because the mean of its divisors is an integer number (12768).

2¹⁴⁹⁷⁹² 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 149792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153216).

149792 is an abundant number, since it is smaller than the sum of its proper divisors (156640).

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

149792 is a wasteful number, since it uses less digits than its factorization.

149792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

The product of its digits is 4536, while the sum is 32.

The square root of 149792 is about 387.0297146215. The cubic root of 149792 is about 53.1083578783.

The spelling of 149792 in words is "one hundred forty-nine thousand, seven hundred ninety-two".