149029171200 has 936 divisors, whose sum is σ = 657342559328. Its totient is φ = 31425822720.

The previous prime is 149029171157. The next prime is 149029171217. The reversal of 149029171200 is 2171920941.

149029171200 is a `hidden beast` number, since 14 + 90 + 291 + 71 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 83864712 + ... + 83866488.

Almost surely, 2^149029171200 is an apocalyptic number.

149029171200 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 149029171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328671279664).

149029171200 is an abundant number, since it is smaller than the sum of its proper divisors (508313388128).

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

149029171200 is a wasteful number, since it uses less digits than its factorization.

149029171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 149029171200 in words is "one hundred forty-nine billion, twenty-nine million, one hundred seventy-one thousand, two hundred".