150010164 has 48 divisors (see below), whose sum is σ = 390378240. Its totient is φ = 49815360.

The previous prime is 150010151. The next prime is 150010169. The reversal of 150010164 is 461010051.

150010164 is a `hidden beast` number, since 1 + 500 + 1 + 0 + 164 = 666.

150010164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150010169) 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, 27877 + ... + 32819.

It is an arithmetic number, because the mean of its divisors is an integer number (8132880).

Almost surely, 2^150010164 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 150010164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195189120).

150010164 is an abundant number, since it is smaller than the sum of its proper divisors (240368076).

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

150010164 is a wasteful number, since it uses less digits than its factorization.

150010164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5237 (or 5229 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 150010164 is about 12247.8636504494. The cubic root of 150010164 is about 531.3412852777.

It can be divided in two parts, 1500 and 10164, that added together give a square (11664 = 108²).

The spelling of 150010164 in words is "one hundred fifty million, ten thousand, one hundred sixty-four".