150417768 has 64 divisors (see below), whose sum is σ = 399764160. Its totient is φ = 47000576.

The previous prime is 150417767. The next prime is 150417781. The reversal of 150417768 is 867714051.

150417768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (150417767) 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, 128755 + ... + 129917.

It is an arithmetic number, because the mean of its divisors is an integer number (6246315).

Almost surely, 2^150417768 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 150417768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199882080).

150417768 is an abundant number, since it is smaller than the sum of its proper divisors (249346392).

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

150417768 is a wasteful number, since it uses less digits than its factorization.

150417768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The square root of 150417768 is about 12264.4921623360. The cubic root of 150417768 is about 531.8220992971.

It can be divided in two parts, 1504177 and 68, that added together give a triangular number (1504245 = T₁₇₃₄).

The spelling of 150417768 in words is "one hundred fifty million, four hundred seventeen thousand, seven hundred sixty-eight".