142369413120 has 864 divisors, whose sum is σ = 575029990080. Its totient is φ = 32440320000.

The previous prime is 142369413113. The next prime is 142369413157. The reversal of 142369413120 is 21314963241.

142369413120 is a `hidden beast` number, since 1 + 4 + 236 + 9 + 413 + 1 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 189572745 + ... + 189573495.

It is an arithmetic number, because the mean of its divisors is an integer number (665543970).

Almost surely, 2^142369413120 is an apocalyptic number.

142369413120 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 142369413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287514995040).

142369413120 is an abundant number, since it is smaller than the sum of its proper divisors (432660576960).

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

142369413120 is a wasteful number, since it uses less digits than its factorization.

142369413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 142369413120 in words is "one hundred forty-two billion, three hundred sixty-nine million, four hundred thirteen thousand, one hundred twenty".