150408010368 has 1296 divisors, whose sum is σ = 593644836330. Its totient is φ = 36404121600.

The previous prime is 150408010271. The next prime is 150408010433. The reversal of 150408010368 is 863010804051.

150408010368 is a `hidden beast` number, since 1 + 504 + 0 + 80 + 10 + 3 + 68 = 666.

150408010368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 149175157824 + 1232852544 = 386232^2 + 35112^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 2465705058 + ... + 2465705118.

Almost surely, 2^150408010368 is an apocalyptic number.

150408010368 is a gapful number since it is divisible by the number (18) 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 150408010368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296822418165).

150408010368 is an abundant number, since it is smaller than the sum of its proper divisors (443236825962).

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

150408010368 is a wasteful number, since it uses less digits than its factorization.

150408010368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 150408010368 in words is "one hundred fifty billion, four hundred eight million, ten thousand, three hundred sixty-eight".