149529072 has 160 divisors (see below), whose sum is σ = 502824960. Its totient is φ = 37128960.

The previous prime is 149529041. The next prime is 149529113. The reversal of 149529072 is 270925941.

149529072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 149529072.

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 31 ways as a sum of consecutive naturals, for example, 84129 + ... + 85887.

It is an arithmetic number, because the mean of its divisors is an integer number (3142656).

Almost surely, 2^149529072 is an apocalyptic number.

149529072 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 149529072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251412480).

149529072 is an abundant number, since it is smaller than the sum of its proper divisors (353295888).

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

149529072 is a wasteful number, since it uses less digits than its factorization.

149529072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 149529072 is about 12228.2080453352. The cubic root of 149529072 is about 530.7726620365.

The spelling of 149529072 in words is "one hundred forty-nine million, five hundred twenty-nine thousand, seventy-two".