150063126681600 has 3024 divisors, whose sum is σ = 620049954888000. Its totient is φ = 35972746444800.

The previous prime is 150063126681569. The next prime is 150063126681623. The reversal of 150063126681600 is 6186621360051.

150063126681600 is a `hidden beast` number, since 1 + 5 + 0 + 0 + 6 + 31 + 2 + 6 + 6 + 8 + 1 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 672928819089 + ... + 672928819311.

It is an arithmetic number, because the mean of its divisors is an integer number (205042974500).

Almost surely, 2^{150063126681600} is an apocalyptic number.

150063126681600 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 150063126681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310024977444000).

150063126681600 is an abundant number, since it is smaller than the sum of its proper divisors (469986828206400).

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

150063126681600 is a wasteful number, since it uses less digits than its factorization.

150063126681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 150063126681600 in words is "one hundred fifty trillion, sixty-three billion, one hundred twenty-six million, six hundred eighty-one thousand, six hundred".