142126645140480 has 2816 divisors, whose sum is σ = 622300995993600. Its totient is φ = 26891739463680.

The previous prime is 142126645140449. The next prime is 142126645140517. The reversal of 142126645140480 is 84041546621241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 215670174391 + ... + 215670175049.

It is an arithmetic number, because the mean of its divisors is an integer number (220987569600).

Almost surely, 2^{142126645140480} is an apocalyptic number.

142126645140480 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 142126645140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311150497996800).

142126645140480 is an abundant number, since it is smaller than the sum of its proper divisors (480174350853120).

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

142126645140480 is a wasteful number, since it uses less digits than its factorization.

142126645140480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 142126645140480 in words is "one hundred forty-two trillion, one hundred twenty-six billion, six hundred forty-five million, one hundred forty thousand, four hundred eighty".