149829744 has 80 divisors (see below), whose sum is σ = 417473280. Its totient is φ = 46149120.

The previous prime is 149829737. The next prime is 149829767. The reversal of 149829744 is 447928941.

149829744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 149829693 and 149829702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35389 + ... + 39395.

It is an arithmetic number, because the mean of its divisors is an integer number (5218416).

Almost surely, 2^149829744 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 149829744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208736640).

149829744 is an abundant number, since it is smaller than the sum of its proper divisors (267643536).

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

149829744 is a wasteful number, since it uses less digits than its factorization.

149829744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4078 (or 4072 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 149829744 is about 12240.4960683789. The cubic root of 149829744 is about 531.1281818218.

The spelling of 149829744 in words is "one hundred forty-nine million, eight hundred twenty-nine thousand, seven hundred forty-four".