150239981848320 has 4032 divisors, whose sum is σ = 709458970429440. Its totient is φ = 29599079989248.

The previous prime is 150239981848267. The next prime is 150239981848331. The reversal of 150239981848320 is 23848189932051.

150239981848320 is a `hidden beast` number, since 1 + 5 + 0 + 2 + 39 + 98 + 18 + 483 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 83979865986 + ... + 83979867774.

It is an arithmetic number, because the mean of its divisors is an integer number (175957085920).

Almost surely, 2^{150239981848320} is an apocalyptic number.

150239981848320 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 150239981848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354729485214720).

150239981848320 is an abundant number, since it is smaller than the sum of its proper divisors (559218988581120).

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

150239981848320 is a wasteful number, since it uses less digits than its factorization.

150239981848320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 150239981848320 in words is "one hundred fifty trillion, two hundred thirty-nine billion, nine hundred eighty-one million, eight hundred forty-eight thousand, three hundred twenty".