149319072 has 144 divisors (see below), whose sum is σ = 506761920. Its totient is φ = 42650496.

The previous prime is 149319067. The next prime is 149319083. The reversal of 149319072 is 270913941.

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

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40573 + ... + 44099.

It is an arithmetic number, because the mean of its divisors is an integer number (3519180).

Almost surely, 2^149319072 is an apocalyptic number.

149319072 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 149319072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253380960).

149319072 is an abundant number, since it is smaller than the sum of its proper divisors (357442848).

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

149319072 is a wasteful number, since it uses less digits than its factorization.

149319072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 149319072 is about 12219.6183246450. The cubic root of 149319072 is about 530.5240716279.

The spelling of 149319072 in words is "one hundred forty-nine million, three hundred nineteen thousand, seventy-two".