149656320 has 216 divisors, whose sum is σ = 565345872. Its totient is φ = 36249600.

The previous prime is 149656307. The next prime is 149656357. The reversal of 149656320 is 23656941.

It is a happy number.

149656320 is a `hidden beast` number, since 1 + 4 + 96 + 563 + 2 + 0 = 666.

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

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, 126130 + ... + 127310.

It is an arithmetic number, because the mean of its divisors is an integer number (2617342).

Almost surely, 2^149656320 is an apocalyptic number.

149656320 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 149656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282672936).

149656320 is an abundant number, since it is smaller than the sum of its proper divisors (415689552).

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

149656320 is a wasteful number, since it uses less digits than its factorization.

149656320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 149656320 is about 12233.4099906772. The cubic root of 149656320 is about 530.9231803923.

The spelling of 149656320 in words is "one hundred forty-nine million, six hundred fifty-six thousand, three hundred twenty".