149117871091200 has 480 divisors, whose sum is σ = 565666901965440. Its totient is φ = 34247164723200.

The previous prime is 149117871091193. The next prime is 149117871091213. The reversal of 149117871091200 is 2190178711941.

149117871091200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×149117871091200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1264539 + ... + 17315738.

It is an arithmetic number, because the mean of its divisors is an integer number (1178472712428).

Almost surely, 2^{149117871091200} is an apocalyptic number.

149117871091200 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 149117871091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282833450982720).

149117871091200 is an abundant number, since it is smaller than the sum of its proper divisors (416549030874240).

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

149117871091200 is a wasteful number, since it uses less digits than its factorization.

149117871091200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18580338 (or 18580317 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 51.

The spelling of 149117871091200 in words is "one hundred forty-nine trillion, one hundred seventeen billion, eight hundred seventy-one million, ninety-one thousand, two hundred".