150234400000 has 108 divisors (see below), whose sum is σ = 374830439004. Its totient is φ = 60093440000.

The previous prime is 150234399983. The next prime is 150234400009. The reversal of 150234400000 is 4432051.

It can be written as a sum of positive squares in 6 ways, for example, as 131414950144 + 18819449856 = 362512^2 + 137184^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150234400009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 706104 + ... + 893896.

It is an arithmetic number, because the mean of its divisors is an integer number (3470652213).

Almost surely, 2^150234400000 is an apocalyptic number.

150234400000 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 150234400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187415219502).

150234400000 is an abundant number, since it is smaller than the sum of its proper divisors (224596039004).

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

150234400000 is an frugal number, since it uses more digits than its factorization.

150234400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187834 (or 187800 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 150234400000 its reverse (4432051), we get a palindrome (150238832051).

The spelling of 150234400000 in words is "one hundred fifty billion, two hundred thirty-four million, four hundred thousand".