150905712 has 80 divisors (see below), whose sum is σ = 398331648. Its totient is φ = 49221120.

The previous prime is 150905701. The next prime is 150905747. The reversal of 150905712 is 217509051.

It is a super-3 number, since 3×150905712³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 150905712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 647548 + ... + 647780.

Almost surely, 2^150905712 is an apocalyptic number.

150905712 is a gapful number since it is divisible by the number (12) 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 150905712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199165824).

150905712 is an abundant number, since it is smaller than the sum of its proper divisors (247425936).

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

150905712 is a wasteful number, since it uses less digits than its factorization.

150905712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 30.

The square root of 150905712 is about 12284.3686040431. The cubic root of 150905712 is about 532.3965423113.

It can be divided in two parts, 15090 and 5712, that added together give a palindrome (20802).

The spelling of 150905712 in words is "one hundred fifty million, nine hundred five thousand, seven hundred twelve".