150381619200 has 1152 divisors, whose sum is σ = 599586624000. Its totient is φ = 37265080320.

The previous prime is 150381619189. The next prime is 150381619229. The reversal of 150381619200 is 2916183051.

150381619200 is a `hidden beast` number, since 1 + 5 + 0 + 38 + 1 + 619 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×150381619200³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1903564761 + ... + 1903564839.

It is an arithmetic number, because the mean of its divisors is an integer number (520474500).

Almost surely, 2^150381619200 is an apocalyptic number.

150381619200 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 150381619200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299793312000).

150381619200 is an abundant number, since it is smaller than the sum of its proper divisors (449205004800).

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

150381619200 is an frugal number, since it uses more digits than its factorization.

150381619200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 150381619200 in words is "one hundred fifty billion, three hundred eighty-one million, six hundred nineteen thousand, two hundred".