150235303604040 has 192 divisors, whose sum is σ = 501487271578800. Its totient is φ = 38977934800896.

The previous prime is 150235303604039. The next prime is 150235303604119. The reversal of 150235303604040 is 40406303532051.

150235303604040 is a `hidden beast` number, since 1 + 5 + 0 + 2 + 3 + 5 + 3 + 0 + 3 + 604 + 0 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5263252695684 + 144972050908356 = 2294178^2 + 12040434^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 150235303603986 and 150235303604004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263624526 + ... + 264193794.

Almost surely, 2^{150235303604040} is an apocalyptic number.

150235303604040 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 150235303604040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250743635789400).

150235303604040 is an abundant number, since it is smaller than the sum of its proper divisors (351251967974760).

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

150235303604040 is a wasteful number, since it uses less digits than its factorization.

150235303604040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589136 (or 589129 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 150235303604040 in words is "one hundred fifty trillion, two hundred thirty-five billion, three hundred three million, six hundred four thousand, forty".