142806424761 has 160 divisors (see below), whose sum is σ = 301504896000. Its totient is φ = 64873768320.

The previous prime is 142806424757. The next prime is 142806424763. The reversal of 142806424761 is 167424608241.

142806424761 is a `hidden beast` number, since 1 + 42 + 80 + 64 + 2 + 476 + 1 = 666.

It is not a de Polignac number, because 142806424761 - 2² = 142806424757 is a prime.

It is a super-3 number, since 3×142806424761³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (142806424763) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1494190 + ... + 1586888.

It is an arithmetic number, because the mean of its divisors is an integer number (1884405600).

Almost surely, 2^142806424761 is an apocalyptic number.

142806424761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

142806424761 is an abundant number, since it is smaller than the sum of its proper divisors (158698471239).

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

142806424761 is a wasteful number, since it uses less digits than its factorization.

142806424761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92761 (or 92752 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 142806424761 in words is "one hundred forty-two billion, eight hundred six million, four hundred twenty-four thousand, seven hundred sixty-one".