144157693680 has 1280 divisors, whose sum is σ = 678236590080. Its totient is φ = 27172454400.

The previous prime is 144157693649. The next prime is 144157693709. The reversal of 144157693680 is 86396751441.

144157693680 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 576 + 9 + 3 + 68 + 0 = 666.

144157693680 is digitally balanced in base 2, 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 (54).

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 131891214 + ... + 131892306.

It is an arithmetic number, because the mean of its divisors is an integer number (529872336).

Almost surely, 2^144157693680 is an apocalyptic number.

144157693680 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 144157693680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339118295040).

144157693680 is an abundant number, since it is smaller than the sum of its proper divisors (534078896400).

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

144157693680 is a wasteful number, since it uses less digits than its factorization.

144157693680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 144157693680 in words is "one hundred forty-four billion, one hundred fifty-seven million, six hundred ninety-three thousand, six hundred eighty".