152750753116000 has 384 divisors, whose sum is σ = 422784001785600. Its totient is φ = 53816017305600.

The previous prime is 152750753115997. The next prime is 152750753116007. The reversal of 152750753116000 is 611357057251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152750753116007) by changing a digit.

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, 489007866 + ... + 489320134.

It is an arithmetic number, because the mean of its divisors is an integer number (1101000004650).

Almost surely, 2^{152750753116000} is an apocalyptic number.

152750753116000 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 152750753116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211392000892800).

152750753116000 is an abundant number, since it is smaller than the sum of its proper divisors (270033248669600).

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

152750753116000 is a wasteful number, since it uses less digits than its factorization.

152750753116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312739 (or 312721 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 43.

The spelling of 152750753116000 in words is "one hundred fifty-two trillion, seven hundred fifty billion, seven hundred fifty-three million, one hundred sixteen thousand".