150818409504 has 288 divisors, whose sum is σ = 515529391104. Its totient is φ = 40913233920.

The previous prime is 150818409481. The next prime is 150818409517. The reversal of 150818409504 is 405904818051.

It is a happy number.

150818409504 is a `hidden beast` number, since 1 + 508 + 18 + 40 + 95 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 150818409504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3289522 + ... + 3335054.

It is an arithmetic number, because the mean of its divisors is an integer number (1790032608).

Almost surely, 2^150818409504 is an apocalyptic number.

150818409504 is a gapful number since it is divisible by the number (14) 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 150818409504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257764695552).

150818409504 is an abundant number, since it is smaller than the sum of its proper divisors (364710981600).

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

150818409504 is a wasteful number, since it uses less digits than its factorization.

150818409504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45640 (or 45629 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 150818409504 in words is "one hundred fifty billion, eight hundred eighteen million, four hundred nine thousand, five hundred four".