149826900160 has 448 divisors, whose sum is σ = 433645056000. Its totient is φ = 49242525696.

The previous prime is 149826900143. The next prime is 149826900163. The reversal of 149826900160 is 61009628941.

It is a happy number.

149826900160 is digitally balanced in base 3, 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 (448).

It is a self number, because there is not a number n which added to its sum of digits gives 149826900160.

It is not an unprimeable number, because it can be changed into a prime (149826900163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 320828247 + ... + 320828713.

Almost surely, 2^149826900160 is an apocalyptic number.

149826900160 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 149826900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216822528000).

149826900160 is an abundant number, since it is smaller than the sum of its proper divisors (283818155840).

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

149826900160 is an equidigital number, since it uses as much as digits as its factorization.

149826900160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The spelling of 149826900160 in words is "one hundred forty-nine billion, eight hundred twenty-six million, nine hundred thousand, one hundred sixty".