150508306116 has 135 divisors (see below), whose sum is σ = 457845254559. Its totient is φ = 42988406832.

The previous prime is 150508306103. The next prime is 150508306121. The reversal of 150508306116 is 611603805051.

The square root of 150508306116 is 387954.

It is a perfect power (a square), and thus also a powerful number.

150508306116 is a `hidden beast` number, since 1 + 5 + 0 + 5 + 0 + 8 + 30 + 611 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 48880665 + ... + 48883743.

Almost surely, 2^150508306116 is an apocalyptic number.

150508306116 is the 387954-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150508306116

150508306116 is an abundant number, since it is smaller than the sum of its proper divisors (307336948443).

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

150508306116 is an frugal number, since it uses more digits than its factorization.

150508306116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6188 (or 3091 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Multiplying 150508306116 by its sum of digits (36), we get a square (5418299020176 = 2327724²).

150508306116 divided by its sum of digits (36) gives a square (4180786281 = 64659²).

The spelling of 150508306116 in words is "one hundred fifty billion, five hundred eight million, three hundred six thousand, one hundred sixteen".