150077568 has 128 divisors (see below), whose sum is σ = 417384000. Its totient is φ = 47738880.

The previous prime is 150077563. The next prime is 150077569. The reversal of 150077568 is 865770051.

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 (150077563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1007158 + ... + 1007306.

Almost surely, 2^150077568 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 150077568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208692000).

150077568 is an abundant number, since it is smaller than the sum of its proper divisors (267306432).

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

150077568 is a wasteful number, since it uses less digits than its factorization.

150077568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 39.

The square root of 150077568 is about 12250.6150049702. The cubic root of 150077568 is about 531.4208558086.

The spelling of 150077568 in words is "one hundred fifty million, seventy-seven thousand, five hundred sixty-eight".