150204446400 has 84 divisors (see below), whose sum is σ = 492795770312. Its totient is φ = 40054517760.

The previous prime is 150204446341. The next prime is 150204446429. The reversal of 150204446400 is 4644402051.

It is a happy number.

150204446400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×150204446400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15641497 + ... + 15651096.

Almost surely, 2^150204446400 is an apocalyptic number.

150204446400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150204446400 is an abundant number, since it is smaller than the sum of its proper divisors (342591323912).

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

150204446400 is a wasteful number, since it uses less digits than its factorization.

150204446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31292618 (or 31292603 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 150204446400 its reverse (4644402051), we get a palindrome (154848848451).

The spelling of 150204446400 in words is "one hundred fifty billion, two hundred four million, four hundred forty-six thousand, four hundred".