142776540 has 192 divisors, whose sum is σ = 478033920. Its totient is φ = 35251200.

The previous prime is 142776503. The next prime is 142776547. The reversal of 142776540 is 45677241.

142776540 is a `hidden beast` number, since 1 + 42 + 7 + 76 + 540 = 666.

142776540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 142776495 and 142776504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142776547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 945465 + ... + 945615.

It is an arithmetic number, because the mean of its divisors is an integer number (2489760).

Almost surely, 2^142776540 is an apocalyptic number.

142776540 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 142776540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239016960).

142776540 is an abundant number, since it is smaller than the sum of its proper divisors (335257380).

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

142776540 is a wasteful number, since it uses less digits than its factorization.

142776540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 142776540 is about 11948.9137581623. The cubic root of 142776540 is about 522.6596232463.

The spelling of 142776540 in words is "one hundred forty-two million, seven hundred seventy-six thousand, five hundred forty".