150131444052000 has 1536 divisors, whose sum is σ = 521330073578496. Its totient is φ = 37730893824000.

The previous prime is 150131444051969. The next prime is 150131444052013. The reversal of 150131444052000 is 250444131051.

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 (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 829455491910 + ... + 829455492090.

It is an arithmetic number, because the mean of its divisors is an integer number (339407599986).

Almost surely, 2^{150131444052000} is an apocalyptic number.

150131444052000 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 150131444052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260665036789248).

150131444052000 is an abundant number, since it is smaller than the sum of its proper divisors (371198629526496).

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

150131444052000 is a wasteful number, since it uses less digits than its factorization.

150131444052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 150131444052000 its reverse (250444131051), we get a palindrome (150381888183051).

The spelling of 150131444052000 in words is "one hundred fifty trillion, one hundred thirty-one billion, four hundred forty-four million, fifty-two thousand".