142150904858880 has 432 divisors, whose sum is σ = 517760164696320. Its totient is φ = 35908534075392.

The previous prime is 142150904858863. The next prime is 142150904858903. The reversal of 142150904858880 is 88858409051241.

142150904858880 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 5 + 0 + 9 + 0 + 48 + 588 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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, 3183149512 + ... + 3183194168.

It is an arithmetic number, because the mean of its divisors is an integer number (1198518899760).

Almost surely, 2^{142150904858880} is an apocalyptic number.

142150904858880 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 142150904858880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258880082348160).

142150904858880 is an abundant number, since it is smaller than the sum of its proper divisors (375609259837440).

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

142150904858880 is a wasteful number, since it uses less digits than its factorization.

142150904858880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59246 (or 59229 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 63.

The spelling of 142150904858880 in words is "one hundred forty-two trillion, one hundred fifty billion, nine hundred four million, eight hundred fifty-eight thousand, eight hundred eighty".