150684938015040 has 1512 divisors, whose sum is σ = 619637306422680. Its totient is φ = 33569453998080.

The previous prime is 150684938015021. The next prime is 150684938015081. The reversal of 150684938015040 is 40510839486051.

It is a happy number.

150684938015040 is a `hidden beast` number, since 1 + 5 + 0 + 68 + 49 + 38 + 0 + 1 + 504 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 49455099834624 + 101229838180416 = 7032432^2 + 10061304^2 .

It is a congruent number.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 13486518894 + ... + 13486530066.

Almost surely, 2^{150684938015040} is an apocalyptic number.

150684938015040 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 150684938015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309818653211340).

150684938015040 is an abundant number, since it is smaller than the sum of its proper divisors (468952368407640).

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

150684938015040 is a wasteful number, since it uses less digits than its factorization.

150684938015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11473 (or 11436 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 150684938015040 in words is "one hundred fifty trillion, six hundred eighty-four billion, nine hundred thirty-eight million, fifteen thousand, forty".