142434956160 has 576 divisors, whose sum is σ = 602282725200. Its totient is φ = 30841896960.

The previous prime is 142434956137. The next prime is 142434956203. The reversal of 142434956160 is 61659434241.

142434956160 is a `hidden beast` number, since 1 + 4 + 2 + 43 + 49 + 561 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×142434956160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5349280 + ... + 5375840.

Almost surely, 2^142434956160 is an apocalyptic number.

142434956160 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 142434956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301141362600).

142434956160 is an abundant number, since it is smaller than the sum of its proper divisors (459847769040).

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

142434956160 is a wasteful number, since it uses less digits than its factorization.

142434956160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26619 (or 26597 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 142434956160 in words is "one hundred forty-two billion, four hundred thirty-four million, nine hundred fifty-six thousand, one hundred sixty".