150004536400 has 240 divisors, whose sum is σ = 385710035200. Its totient is φ = 55897620480.

The previous prime is 150004536397. The next prime is 150004536401. The reversal of 150004536400 is 4635400051.

150004536400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150004536401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 259972912 + ... + 259973488.

Almost surely, 2^150004536400 is an apocalyptic number.

150004536400 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 150004536400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192855017600).

150004536400 is an abundant number, since it is smaller than the sum of its proper divisors (235705498800).

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

150004536400 is a wasteful number, since it uses less digits than its factorization.

150004536400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 150004536400 its reverse (4635400051), we get a palindrome (154639936451).

The spelling of 150004536400 in words is "one hundred fifty billion, four million, five hundred thirty-six thousand, four hundred".