150209536 has 33 divisors (see below), whose sum is σ = 301058431. Its totient is φ = 74908672.

The previous prime is 150209519. The next prime is 150209537. The reversal of 150209536 is 635902051.

The square root of 150209536 is 12256.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 150209498 and 150209507.

It is not an unprimeable number, because it can be changed into a prime (150209537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 392001 + ... + 392383.

Almost surely, 2^150209536 is an apocalyptic number.

150209536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

150209536 is the 12256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150209536

150209536 is an abundant number, since it is smaller than the sum of its proper divisors (150848895).

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

150209536 is an frugal number, since it uses more digits than its factorization.

150209536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The cubic root of 150209536 is about 531.5765752863.

Multiplying 150209536 by its product of nonzero digits (8100), we get a square (1216697241600 = 1103040²).

The spelling of 150209536 in words is "one hundred fifty million, two hundred nine thousand, five hundred thirty-six".