150976116081120 has 1536 divisors, whose sum is σ = 553432665784320. Its totient is φ = 34265152880640.

The previous prime is 150976116081103. The next prime is 150976116081149. The reversal of 150976116081120 is 21180611679051.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 150976116081120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 159425676487 + ... + 159425677433.

It is an arithmetic number, because the mean of its divisors is an integer number (360307725120).

Almost surely, 2^{150976116081120} is an apocalyptic number.

150976116081120 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 150976116081120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276716332892160).

150976116081120 is an abundant number, since it is smaller than the sum of its proper divisors (402456549703200).

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

150976116081120 is a wasteful number, since it uses less digits than its factorization.

150976116081120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 48.

The spelling of 150976116081120 in words is "one hundred fifty trillion, nine hundred seventy-six billion, one hundred sixteen million, eighty-one thousand, one hundred twenty".