149854320 has 640 divisors, whose sum is σ = 694241280. Its totient is φ = 28753920.

The previous prime is 149854291. The next prime is 149854321. The reversal of 149854320 is 23458941.

149854320 is a `hidden beast` number, since 1 + 4 + 98 + 543 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149854321) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 2827414 + ... + 2827466.

It is an arithmetic number, because the mean of its divisors is an integer number (1084752).

Almost surely, 2^149854320 is an apocalyptic number.

149854320 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 149854320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347120640).

149854320 is an abundant number, since it is smaller than the sum of its proper divisors (544386960).

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

149854320 is a wasteful number, since it uses less digits than its factorization.

149854320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 149854320 is about 12241.4999080995. The cubic root of 149854320 is about 531.1572198758.

The spelling of 149854320 in words is "one hundred forty-nine million, eight hundred fifty-four thousand, three hundred twenty".