150281802420480 has 1188 divisors, whose sum is σ = 558204199047180. Its totient is φ = 38763656110080.

The previous prime is 150281802420473. The next prime is 150281802420481. The reversal of 150281802420480 is 84024208182051.

It is a happy number.

150281802420480 is a `hidden beast` number, since 1 + 5 + 0 + 2 + 8 + 180 + 2 + 420 + 48 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37784723837184 + 112497078583296 = 6146928^2 + 10606464^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (150281802420481) by changing a digit.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 72634992886 + ... + 72634994954.

Almost surely, 2^{150281802420480} is an apocalyptic number.

150281802420480 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 150281802420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279102099523590).

150281802420480 is an abundant number, since it is smaller than the sum of its proper divisors (407922396626700).

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

150281802420480 is an frugal number, since it uses more digits than its factorization.

150281802420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 150281802420480 in words is "one hundred fifty trillion, two hundred eighty-one billion, eight hundred two million, four hundred twenty thousand, four hundred eighty".