150134484382848 has 1024 divisors, whose sum is σ = 530809927065600. Its totient is φ = 40883197132800.

The previous prime is 150134484382819. The next prime is 150134484382859. The reversal of 150134484382848 is 848283484431051.

150134484382848 is a `hidden beast` number, since 1 + 5 + 0 + 1 + 34 + 484 + 3 + 82 + 8 + 48 = 666.

It is a super-2 number, since 2×150134484382848² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10854919293 + ... + 10854933123.

It is an arithmetic number, because the mean of its divisors is an integer number (518369069400).

Almost surely, 2^{150134484382848} is an apocalyptic number.

150134484382848 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 150134484382848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265404963532800).

150134484382848 is an abundant number, since it is smaller than the sum of its proper divisors (380675442682752).

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

150134484382848 is a wasteful number, since it uses less digits than its factorization.

150134484382848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14146 (or 14128 counting only the distinct ones).

The product of its (nonzero) digits is 94371840, while the sum is 63.

The spelling of 150134484382848 in words is "one hundred fifty trillion, one hundred thirty-four billion, four hundred eighty-four million, three hundred eighty-two thousand, eight hundred forty-eight".