150593138223840 has 3072 divisors, whose sum is σ = 643778150400000. Its totient is φ = 32476517498880.

The previous prime is 150593138223797. The next prime is 150593138223851. The reversal of 150593138223840 is 48322831395051.

150593138223840 is a `hidden beast` number, since 1 + 5 + 0 + 59 + 313 + 8 + 2 + 238 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 301789855911 + ... + 301789856409.

It is an arithmetic number, because the mean of its divisors is an integer number (209563200000).

Almost surely, 2^{150593138223840} is an apocalyptic number.

150593138223840 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 150593138223840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321889075200000).

150593138223840 is an abundant number, since it is smaller than the sum of its proper divisors (493185012176160).

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

150593138223840 is a wasteful number, since it uses less digits than its factorization.

150593138223840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 150593138223840 in words is "one hundred fifty trillion, five hundred ninety-three billion, one hundred thirty-eight million, two hundred twenty-three thousand, eight hundred forty".