150001632000 has 720 divisors, whose sum is σ = 609064039584. Its totient is φ = 36357120000.

The previous prime is 150001631959. The next prime is 150001632019. The reversal of 150001632000 is 236100051.

150001632000 is a `hidden beast` number, since 1 + 500 + 0 + 163 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28509370 + ... + 28514630.

Almost surely, 2^150001632000 is an apocalyptic number.

150001632000 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 150001632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304532019792).

150001632000 is an abundant number, since it is smaller than the sum of its proper divisors (459062407584).

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

150001632000 is an equidigital number, since it uses as much as digits as its factorization.

150001632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5315 (or 5282 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 150001632000 its reverse (236100051), we get a palindrome (150237732051).

The spelling of 150001632000 in words is "one hundred fifty billion, one million, six hundred thirty-two thousand".