150164100 has 54 divisors (see below), whose sum is σ = 470683850. Its totient is φ = 40043520.

The previous prime is 150164083. The next prime is 150164101. The reversal of 150164100 is 1461051.

150164100 is a `hidden beast` number, since 1 + 501 + 64 + 100 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3415104 + 146748996 = 1848^2 + 12114^2 .

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

It is not an unprimeable number, because it can be changed into a prime (150164101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 82525 + ... + 84324.

Almost surely, 2^150164100 is an apocalyptic number.

150164100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150164100 is an abundant number, since it is smaller than the sum of its proper divisors (320519750).

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

150164100 is a wasteful number, since it uses less digits than its factorization.

150164100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166869 (or 166859 counting only the distinct ones).

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

The square root of 150164100 is about 12254.1462370905. The cubic root of 150164100 is about 531.5229720562.

The spelling of 150164100 in words is "one hundred fifty million, one hundred sixty-four thousand, one hundred".