142054560 has 240 divisors, whose sum is σ = 510984936. Its totient is φ = 37158912.

The previous prime is 142054559. The next prime is 142054571. The reversal of 142054560 is 65450241.

142054560 is a `hidden beast` number, since 1 + 4 + 205 + 456 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66781584 + 75272976 = 8172^2 + 8676^2 .

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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1257064 + ... + 1257176.

Almost surely, 2^142054560 is an apocalyptic number.

142054560 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 142054560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255492468).

142054560 is an abundant number, since it is smaller than the sum of its proper divisors (368930376).

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

142054560 is a wasteful number, since it uses less digits than its factorization.

142054560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 142054560 is about 11918.6643547002. The cubic root of 142054560 is about 521.7771541853. Note that the first 3 decimals are identical.

The spelling of 142054560 in words is "one hundred forty-two million, fifty-four thousand, five hundred sixty".