149813838720 has 1536 divisors, whose sum is σ = 686125440000. Its totient is φ = 29847896064.

The previous prime is 149813838649. The next prime is 149813838743. The reversal of 149813838720 is 27838318941.

It is a happy number.

149813838720 is a `hidden beast` number, since 1 + 498 + 1 + 3 + 83 + 8 + 72 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 487992807 + ... + 487993113.

It is an arithmetic number, because the mean of its divisors is an integer number (446696250).

Almost surely, 2^149813838720 is an apocalyptic number.

149813838720 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 149813838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343062720000).

149813838720 is an abundant number, since it is smaller than the sum of its proper divisors (536311601280).

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

149813838720 is a wasteful number, since it uses less digits than its factorization.

149813838720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 149813838720 in words is "one hundred forty-nine billion, eight hundred thirteen million, eight hundred thirty-eight thousand, seven hundred twenty".