142656215040 has 480 divisors, whose sum is σ = 513943269840. Its totient is φ = 37847236608.

The previous prime is 142656215033. The next prime is 142656215083. The reversal of 142656215040 is 40512656241.

142656215040 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 562 + 1 + 50 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 142656214986 and 142656215004.

It is a congruent number.

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, 243025627 + ... + 243026213.

Almost surely, 2^142656215040 is an apocalyptic number.

142656215040 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 142656215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256971634920).

142656215040 is an abundant number, since it is smaller than the sum of its proper divisors (371287054800).

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

142656215040 is an equidigital number, since it uses as much as digits as its factorization.

142656215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 142656215040 in words is "one hundred forty-two billion, six hundred fifty-six million, two hundred fifteen thousand, forty".