142490960352 has 576 divisors, whose sum is σ = 474767758080. Its totient is φ = 41307356160.

The previous prime is 142490960341. The next prime is 142490960371. The reversal of 142490960352 is 253069094241.

142490960352 is a `hidden beast` number, since 1 + 42 + 490 + 96 + 0 + 35 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 142490960298 and 142490960307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 464139783 + ... + 464140089.

It is an arithmetic number, because the mean of its divisors is an integer number (824249580).

Almost surely, 2^142490960352 is an apocalyptic number.

142490960352 is a gapful number since it is divisible by the number (12) 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 142490960352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237383879040).

142490960352 is an abundant number, since it is smaller than the sum of its proper divisors (332276797728).

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

142490960352 is a wasteful number, since it uses less digits than its factorization.

142490960352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 142490960352 in words is "one hundred forty-two billion, four hundred ninety million, nine hundred sixty thousand, three hundred fifty-two".