142451239680 has 1440 divisors, whose sum is σ = 574393171968. Its totient is φ = 33575731200.

The previous prime is 142451239621. The next prime is 142451239681. The reversal of 142451239680 is 86932154241.

142451239680 is a `hidden beast` number, since 1 + 4 + 24 + 512 + 39 + 6 + 80 = 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 (45).

It is not an unprimeable number, because it can be changed into a prime (142451239681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3030877417 + ... + 3030877463.

Almost surely, 2^142451239680 is an apocalyptic number.

142451239680 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 142451239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287196585984).

142451239680 is an abundant number, since it is smaller than the sum of its proper divisors (431941932288).

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

142451239680 is a wasteful number, since it uses less digits than its factorization.

142451239680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 142451239680 in words is "one hundred forty-two billion, four hundred fifty-one million, two hundred thirty-nine thousand, six hundred eighty".