142468560 has 240 divisors, whose sum is σ = 532965888. Its totient is φ = 33868800.

The previous prime is 142468553. The next prime is 142468567. The reversal of 142468560 is 65864241.

142468560 is a `hidden beast` number, since 14 + 24 + 68 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (142468553) and next prime (142468567).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142468567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289915 + ... + 290405.

Almost surely, 2^142468560 is an apocalyptic number.

142468560 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 142468560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266482944).

142468560 is an abundant number, since it is smaller than the sum of its proper divisors (390497328).

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

142468560 is a wasteful number, since it uses less digits than its factorization.

142468560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 142468560 is about 11936.0194369815. The cubic root of 142468560 is about 522.2835470126.

The spelling of 142468560 in words is "one hundred forty-two million, four hundred sixty-eight thousand, five hundred sixty".