150020137344 has 384 divisors, whose sum is σ = 506895217920. Its totient is φ = 38873640960.

The previous prime is 150020137343. The next prime is 150020137361. The reversal of 150020137344 is 443731020051.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150020137343) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 150471054 + ... + 150472050.

It is an arithmetic number, because the mean of its divisors is an integer number (1320039630).

Almost surely, 2^150020137344 is an apocalyptic number.

150020137344 is a gapful number since it is divisible by the number (14) 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 150020137344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253447608960).

150020137344 is an abundant number, since it is smaller than the sum of its proper divisors (356875080576).

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

150020137344 is a wasteful number, since it uses less digits than its factorization.

150020137344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

Adding to 150020137344 its reverse (443731020051), we get a palindrome (593751157395).

The spelling of 150020137344 in words is "one hundred fifty billion, twenty million, one hundred thirty-seven thousand, three hundred forty-four".