149512320 has 192 divisors, whose sum is σ = 523425240. Its totient is φ = 39321600.

The previous prime is 149512283. The next prime is 149512327. The reversal of 149512320 is 23215941.

149512320 is a `hidden beast` number, since 149 + 512 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 145733184 + 3779136 = 12072^2 + 1944^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (149512327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 581632 + ... + 581888.

Almost surely, 2^149512320 is an apocalyptic number.

149512320 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 149512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261712620).

149512320 is an abundant number, since it is smaller than the sum of its proper divisors (373912920).

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

149512320 is a wasteful number, since it uses less digits than its factorization.

149512320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 149512320 is about 12227.5230525238. The cubic root of 149512320 is about 530.7528401705.

It can be divided in two parts, 14951 and 2320, that added together give a palindrome (17271).

The spelling of 149512320 in words is "one hundred forty-nine million, five hundred twelve thousand, three hundred twenty".