150420096 has 96 divisors (see below), whose sum is σ = 444674100. Its totient is φ = 48771072.

The previous prime is 150420089. The next prime is 150420107. The reversal of 150420096 is 690024051.

150420096 is a `hidden beast` number, since 150 + 420 + 0 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 150405696 + 14400 = 12264^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40860 + ... + 44388.

Almost surely, 2^150420096 is an apocalyptic number.

150420096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150420096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222337050).

150420096 is an abundant number, since it is smaller than the sum of its proper divisors (294254004).

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

150420096 is a wasteful number, since it uses less digits than its factorization.

150420096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 3571 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 150420096 is about 12264.5870700974. The cubic root of 150420096 is about 531.8248429345.

The spelling of 150420096 in words is "one hundred fifty million, four hundred twenty thousand, ninety-six".