150011345000000 has 896 divisors, whose sum is σ = 423230385277440. Its totient is φ = 52254720000000.

The previous prime is 150011344999979. The next prime is 150011345000039. The reversal of 150011345000000 is 543110051.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 127 ways as a sum of consecutive naturals, for example, 259984999712 + ... + 259985000288.

Almost surely, 2^{150011345000000} is an apocalyptic number.

150011345000000 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 150011345000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211615192638720).

150011345000000 is an abundant number, since it is smaller than the sum of its proper divisors (273219040277440).

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

150011345000000 is an frugal number, since it uses more digits than its factorization.

150011345000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 150011345000000 its reverse (543110051), we get a palindrome (150011888110051).

The spelling of 150011345000000 in words is "one hundred fifty trillion, eleven billion, three hundred forty-five million", and thus it is an aban number.