149871993000 has 128 divisors (see below), whose sum is σ = 474006798720. Its totient is φ = 39418329600.

The previous prime is 149871992993. The next prime is 149871993031. The reversal of 149871993000 is 399178941.

It is a happy number.

It is a super-2 number, since 2×149871993000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123174 + ... + 561173.

It is an arithmetic number, because the mean of its divisors is an integer number (3703178115).

Almost surely, 2^149871993000 is an apocalyptic number.

149871993000 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 149871993000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237003399360).

149871993000 is an abundant number, since it is smaller than the sum of its proper divisors (324134805720).

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

149871993000 is a wasteful number, since it uses less digits than its factorization.

149871993000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684444 (or 684430 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The spelling of 149871993000 in words is "one hundred forty-nine billion, eight hundred seventy-one million, nine hundred ninety-three thousand".