149728163901760 has 168 divisors, whose sum is σ = 385723021511520. Its totient is φ = 55205601601536.

The previous prime is 149728163901739. The next prime is 149728163901763. The reversal of 149728163901760 is 67109361827941.

149728163901760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 149728163901692 and 149728163901701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149728163901763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 670762 + ... + 17317801.

It is an arithmetic number, because the mean of its divisors is an integer number (2295970366140).

Almost surely, 2^{149728163901760} is an apocalyptic number.

149728163901760 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 149728163901760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192861510755760).

149728163901760 is an abundant number, since it is smaller than the sum of its proper divisors (235994857609760).

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

149728163901760 is a wasteful number, since it uses less digits than its factorization.

149728163901760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17988673 (or 17988626 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 64.

The spelling of 149728163901760 in words is "one hundred forty-nine trillion, seven hundred twenty-eight billion, one hundred sixty-three million, nine hundred one thousand, seven hundred sixty".