150950044800 has 1152 divisors, whose sum is σ = 623594462400. Its totient is φ = 35831808000.

The previous prime is 150950044771. The next prime is 150950044823. The reversal of 150950044800 is 8440059051.

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

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 143 ways as a sum of consecutive naturals, for example, 251164500 + ... + 251165100.

Almost surely, 2^150950044800 is an apocalyptic number.

150950044800 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 150950044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311797231200).

150950044800 is an abundant number, since it is smaller than the sum of its proper divisors (472644417600).

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

150950044800 is a wasteful number, since it uses less digits than its factorization.

150950044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 150950044800 in words is "one hundred fifty billion, nine hundred fifty million, forty-four thousand, eight hundred".