149815008 has 240 divisors, whose sum is σ = 526901760. Its totient is φ = 40829184.

The previous prime is 149815007. The next prime is 149815009. The reversal of 149815008 is 800518941.

149815008 is a `hidden beast` number, since 149 + 8 + 1 + 500 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (149815007) and next prime (149815009).

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 (149815007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 417133 + ... + 417491.

It is an arithmetic number, because the mean of its divisors is an integer number (2195424).

Almost surely, 2^149815008 is an apocalyptic number.

149815008 is a gapful number since it is divisible by the number (18) 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 149815008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263450880).

149815008 is an abundant number, since it is smaller than the sum of its proper divisors (377086752).

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

149815008 is a wasteful number, since it uses less digits than its factorization.

149815008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 149815008 is about 12239.8941171891. The cubic root of 149815008 is about 531.1107688096.

The spelling of 149815008 in words is "one hundred forty-nine million, eight hundred fifteen thousand, eight".