149203968 has 88 divisors (see below), whose sum is σ = 421223472. Its totient is φ = 46792704.

The previous prime is 149203963. The next prime is 149203973. The reversal of 149203968 is 869302941.

It is an interprime number because it is at equal distance from previous prime (149203963) and next prime (149203973).

It is not an unprimeable number, because it can be changed into a prime (149203963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50796 + ... + 53652.

Almost surely, 2^149203968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149203968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210611736).

149203968 is an abundant number, since it is smaller than the sum of its proper divisors (272019504).

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

149203968 is a wasteful number, since it uses less digits than its factorization.

149203968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 149203968 is about 12214.9076132405. The cubic root of 149203968 is about 530.3877167748.

The spelling of 149203968 in words is "one hundred forty-nine million, two hundred three thousand, nine hundred sixty-eight".