142507482624 has 320 divisors, whose sum is σ = 458588148480. Its totient is φ = 43432796160.

The previous prime is 142507482587. The next prime is 142507482659. The reversal of 142507482624 is 426284705241.

142507482624 is a `hidden beast` number, since 1 + 4 + 2 + 507 + 4 + 82 + 62 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 142507482624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19225479 + ... + 19232889.

It is an arithmetic number, because the mean of its divisors is an integer number (1433087964).

Almost surely, 2^142507482624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142507482624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229294074240).

142507482624 is an abundant number, since it is smaller than the sum of its proper divisors (316080665856).

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

142507482624 is a wasteful number, since it uses less digits than its factorization.

142507482624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7558 (or 7536 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 142507482624 in words is "one hundred forty-two billion, five hundred seven million, four hundred eighty-two thousand, six hundred twenty-four".