149903936 has 84 divisors (see below), whose sum is σ = 372750588. Its totient is φ = 59286528.

The previous prime is 149903917. The next prime is 149903959. The reversal of 149903936 is 639309941.

It can be written as a sum of positive squares in 2 ways, for example, as 69622336 + 80281600 = 8344^2 + 8960^2 .

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 11 ways as a sum of consecutive naturals, for example, 38930 + ... + 42606.

It is an arithmetic number, because the mean of its divisors is an integer number (4437507).

Almost surely, 2^149903936 is an apocalyptic number.

149903936 is a gapful number since it is divisible by the number (16) 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 149903936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186375294).

149903936 is an abundant number, since it is smaller than the sum of its proper divisors (222846652).

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

149903936 is a wasteful number, since it uses less digits than its factorization.

149903936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3716 (or 3699 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 44.

The square root of 149903936 is about 12243.5262894315. The cubic root of 149903936 is about 531.2158345548.

The spelling of 149903936 in words is "one hundred forty-nine million, nine hundred three thousand, nine hundred thirty-six".