142533615133500 has 192 divisors, whose sum is σ = 416801893487616. Its totient is φ = 37849322400000.

The previous prime is 142533615133499. The next prime is 142533615133537. The reversal of 142533615133500 is 5331516335241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1845940894 + ... + 1846018106.

It is an arithmetic number, because the mean of its divisors is an integer number (2170843195248).

Almost surely, 2^{142533615133500} is an apocalyptic number.

142533615133500 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 142533615133500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208400946743808).

142533615133500 is an abundant number, since it is smaller than the sum of its proper divisors (274268278354116).

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

142533615133500 is a wasteful number, since it uses less digits than its factorization.

142533615133500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82389 (or 82377 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 42.

The spelling of 142533615133500 in words is "one hundred forty-two trillion, five hundred thirty-three billion, six hundred fifteen million, one hundred thirty-three thousand, five hundred".