142766910132480 has 1440 divisors, whose sum is σ = 535307511594240. Its totient is φ = 36285491773440.

The previous prime is 142766910132479. The next prime is 142766910132491. The reversal of 142766910132480 is 84231019667241.

142766910132480 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 66 + 91 + 0 + 13 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 78833190775 + ... + 78833192585.

It is an arithmetic number, because the mean of its divisors is an integer number (371741327496).

Almost surely, 2^{142766910132480} is an apocalyptic number.

142766910132480 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 142766910132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267653755797120).

142766910132480 is an abundant number, since it is smaller than the sum of its proper divisors (392540601461760).

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

142766910132480 is a wasteful number, since it uses less digits than its factorization.

142766910132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 142766910132480 in words is "one hundred forty-two trillion, seven hundred sixty-six billion, nine hundred ten million, one hundred thirty-two thousand, four hundred eighty".