150005415112000 has 448 divisors, whose sum is σ = 447082917465600. Its totient is φ = 48703986892800.

The previous prime is 150005415111973. The next prime is 150005415112037. The reversal of 150005415112000 is 211514500051.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2775948982 + ... + 2776003018.

Almost surely, 2^{150005415112000} is an apocalyptic number.

150005415112000 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 150005415112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223541458732800).

150005415112000 is an abundant number, since it is smaller than the sum of its proper divisors (297077502353600).

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

150005415112000 is a wasteful number, since it uses less digits than its factorization.

150005415112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56699 (or 56679 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 25.

Adding to 150005415112000 its reverse (211514500051), we get a palindrome (150216929612051).

The spelling of 150005415112000 in words is "one hundred fifty trillion, five billion, four hundred fifteen million, one hundred twelve thousand".