150380224144059 has 128 divisors (see below), whose sum is σ = 268348110929920. Its totient is φ = 72667634457600.

The previous prime is 150380224144039. The next prime is 150380224144093. The reversal of 150380224144059 is 950441422083051.

It is a happy number.

It is not a de Polignac number, because 150380224144059 - 2⁸ = 150380224143803 is a prime.

It is a super-2 number, since 2×150380224144059² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 150380224143999 and 150380224144017.

It is not an unprimeable number, because it can be changed into a prime (150380224144039) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 213025239 + ... + 213729999.

It is an arithmetic number, because the mean of its divisors is an integer number (2096469616640).

Almost surely, 2^{150380224144059} is an apocalyptic number.

150380224144059 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

150380224144059 is a deficient number, since it is larger than the sum of its proper divisors (117967886785861).

150380224144059 is a wasteful number, since it uses less digits than its factorization.

150380224144059 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706161.

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 150380224144059 in words is "one hundred fifty trillion, three hundred eighty billion, two hundred twenty-four million, one hundred forty-four thousand, fifty-nine".