149829120 has 240 divisors, whose sum is σ = 593667360. Its totient is φ = 34209792.

The previous prime is 149829103. The next prime is 149829131. The reversal of 149829120 is 21928941.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 160816 + ... + 161744.

It is an arithmetic number, because the mean of its divisors is an integer number (2473614).

Almost surely, 2^149829120 is an apocalyptic number.

149829120 is a gapful number since it is divisible by the number (10) 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 149829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296833680).

149829120 is an abundant number, since it is smaller than the sum of its proper divisors (443838240).

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

149829120 is an equidigital number, since it uses as much as digits as its factorization.

149829120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 149829120 is about 12240.4705791893. The cubic root of 149829120 is about 531.1274444861.

The spelling of 149829120 in words is "one hundred forty-nine million, eight hundred twenty-nine thousand, one hundred twenty".