149040768 has 128 divisors (see below), whose sum is σ = 425952000. Its totient is φ = 46166016.

The previous prime is 149040761. The next prime is 149040779. The reversal of 149040768 is 867040941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (149040761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1886553 + ... + 1886631.

It is an arithmetic number, because the mean of its divisors is an integer number (3327750).

Almost surely, 2^149040768 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 149040768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212976000).

149040768 is an abundant number, since it is smaller than the sum of its proper divisors (276911232).

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

149040768 is an frugal number, since it uses more digits than its factorization.

149040768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 149040768 is about 12208.2254238689. The cubic root of 149040768 is about 530.1942660344.

The spelling of 149040768 in words is "one hundred forty-nine million, forty thousand, seven hundred sixty-eight".