150141456 has 60 divisors (see below), whose sum is σ = 421926492. Its totient is φ = 49840128.

The previous prime is 150141443. The next prime is 150141457. The reversal of 150141456 is 654141051.

It can be written as a sum of positive squares in 2 ways, for example, as 121881600 + 28259856 = 11040^2 + 5316^2 .

It is not an unprimeable number, because it can be changed into a prime (150141457) by changing a digit.

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, 34980 + ... + 39036.

Almost surely, 2^150141456 is an apocalyptic number.

150141456 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 150141456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210963246).

150141456 is an abundant number, since it is smaller than the sum of its proper divisors (271785036).

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

150141456 is a wasteful number, since it uses less digits than its factorization.

150141456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 150141456 is about 12253.2222700806. Note that the first 4 decimals coincide. The cubic root of 150141456 is about 531.4962537056.

The spelling of 150141456 in words is "one hundred fifty million, one hundred forty-one thousand, four hundred fifty-six".