150985806400 has 336 divisors, whose sum is σ = 444741409728. Its totient is φ = 49720320000.

The previous prime is 150985806379. The next prime is 150985806403. The reversal of 150985806400 is 4608589051.

It is not an unprimeable number, because it can be changed into a prime (150985806403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12120175 + ... + 12132625.

It is an arithmetic number, because the mean of its divisors is an integer number (1323635148).

Almost surely, 2^150985806400 is an apocalyptic number.

150985806400 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 150985806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222370704864).

150985806400 is an abundant number, since it is smaller than the sum of its proper divisors (293755603328).

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

150985806400 is a wasteful number, since it uses less digits than its factorization.

150985806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12550 (or 12535 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 46.

The spelling of 150985806400 in words is "one hundred fifty billion, nine hundred eighty-five million, eight hundred six thousand, four hundred".