149998710067200 has 1404 divisors, whose sum is σ = 568112835834180. Its totient is φ = 37819703623680.

The previous prime is 149998710067189. The next prime is 149998710067237. The reversal of 149998710067200 is 2760017899941.

149998710067200 is a `hidden beast` number, since 1 + 499 + 9 + 8 + 71 + 0 + 0 + 6 + 72 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 53543054905344 + 96455655161856 = 7317312^2 + 9821184^2 .

It is a super-2 number, since 2×149998710067200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 43389847872 + ... + 43389851328.

Almost surely, 2^{149998710067200} is an apocalyptic number.

149998710067200 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 149998710067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284056417917090).

149998710067200 is an abundant number, since it is smaller than the sum of its proper divisors (418114125766980).

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

149998710067200 is a wasteful number, since it uses less digits than its factorization.

149998710067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 149998710067200 in words is "one hundred forty-nine trillion, nine hundred ninety-eight billion, seven hundred ten million, sixty-seven thousand, two hundred".