150189811200 has 1200 divisors, whose sum is σ = 653687130096. Its totient is φ = 33575731200.

The previous prime is 150189811103. The next prime is 150189811231. The reversal of 150189811200 is 2118981051.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 148261894 + ... + 148262906.

Almost surely, 2^150189811200 is an apocalyptic number.

150189811200 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 150189811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326843565048).

150189811200 is an abundant number, since it is smaller than the sum of its proper divisors (503497318896).

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

150189811200 is a wasteful number, since it uses less digits than its factorization.

150189811200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 36.

The spelling of 150189811200 in words is "one hundred fifty billion, one hundred eighty-nine million, eight hundred eleven thousand, two hundred".