142415640 has 192 divisors, whose sum is σ = 498700800. Its totient is φ = 35133696.

The previous prime is 142415639. The next prime is 142415657. The reversal of 142415640 is 46514241.

142415640 = T₅₆ + T₅₇ + ... + T₉₄₈.

142415640 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 15 + 640 = 666.

142415640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321259 + ... + 321701.

It is an arithmetic number, because the mean of its divisors is an integer number (2597400).

Almost surely, 2^142415640 is an apocalyptic number.

142415640 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 142415640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249350400).

142415640 is an abundant number, since it is smaller than the sum of its proper divisors (356285160).

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

142415640 is a wasteful number, since it uses less digits than its factorization.

142415640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 142415640 is about 11933.8024116373. The cubic root of 142415640 is about 522.2188715309.

Adding to 142415640 its reverse (46514241), we get a palindrome (188929881).

It can be divided in two parts, 14241 and 5640, that added together give a square (19881 = 141²).

The spelling of 142415640 in words is "one hundred forty-two million, four hundred fifteen thousand, six hundred forty".