150123040 has 48 divisors (see below), whose sum is σ = 359552088. Its totient is φ = 59222016.

The previous prime is 150123031. The next prime is 150123089. The reversal of 150123040 is 40321051.

It can be written as a sum of positive squares in 4 ways, for example, as 107246736 + 42876304 = 10356^2 + 6548^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5254 + ... + 18106.

Almost surely, 2^150123040 is an apocalyptic number.

150123040 is a gapful number since it is divisible by the number (10) 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 150123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179776044).

150123040 is an abundant number, since it is smaller than the sum of its proper divisors (209429048).

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

150123040 is a wasteful number, since it uses less digits than its factorization.

150123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12941 (or 12933 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 150123040 is about 12252.4707712363. The cubic root of 150123040 is about 531.4745221211.

Adding to 150123040 its reverse (40321051), we get a palindrome (190444091).

The spelling of 150123040 in words is "one hundred fifty million, one hundred twenty-three thousand, forty".