149785638912 has 1152 divisors, whose sum is σ = 585738316800. Its totient is φ = 36819173376.

The previous prime is 149785638911. The next prime is 149785638973. The reversal of 149785638912 is 219836587941.

149785638912 is a `hidden beast` number, since 1 + 497 + 8 + 5 + 63 + 89 + 1 + 2 = 666.

149785638912 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 (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 149785638912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149785638911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1454229453 + ... + 1454229555.

It is an arithmetic number, because the mean of its divisors is an integer number (508453400).

Almost surely, 2^149785638912 is an apocalyptic number.

149785638912 is a gapful number since it is divisible by the number (12) 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 149785638912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292869158400).

149785638912 is an abundant number, since it is smaller than the sum of its proper divisors (435952677888).

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

149785638912 is a wasteful number, since it uses less digits than its factorization.

149785638912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 145 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 149785638912 in words is "one hundred forty-nine billion, seven hundred eighty-five million, six hundred thirty-eight thousand, nine hundred twelve".