149445792 has 144 divisors (see below), whose sum is σ = 462309120. Its totient is φ = 45619200.

The previous prime is 149445781. The next prime is 149445797. The reversal of 149445792 is 297544941.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149445797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169192 + ... + 170072.

It is an arithmetic number, because the mean of its divisors is an integer number (3210480).

Almost surely, 2^149445792 is an apocalyptic number.

149445792 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 149445792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231154560).

149445792 is an abundant number, since it is smaller than the sum of its proper divisors (312863328).

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

149445792 is a wasteful number, since it uses less digits than its factorization.

149445792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 936 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 149445792 is about 12224.8023296902. The cubic root of 149445792 is about 530.6741060490.

It can be divided in two parts, 14944 and 5792, that added together give a 4-th power (20736 = 12⁴).

The spelling of 149445792 in words is "one hundred forty-nine million, four hundred forty-five thousand, seven hundred ninety-two".