152763356016 has 120 divisors (see below), whose sum is σ = 442975955760. Its totient is φ = 49113412608.

The previous prime is 152763355939. The next prime is 152763356029. The reversal of 152763356016 is 610653367251.

152763356016 is a `hidden beast` number, since 1 + 5 + 2 + 7 + 6 + 3 + 35 + 601 + 6 = 666.

152763356016 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280660 + ... + 619916.

It is an arithmetic number, because the mean of its divisors is an integer number (3691466298).

Almost surely, 2^152763356016 is an apocalyptic number.

152763356016 is a gapful number since it is divisible by the number (16) 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 152763356016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221487977880).

152763356016 is an abundant number, since it is smaller than the sum of its proper divisors (290212599744).

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

152763356016 is a wasteful number, since it uses less digits than its factorization.

152763356016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339383 (or 339374 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 152763356016 in words is "one hundred fifty-two billion, seven hundred sixty-three million, three hundred fifty-six thousand, sixteen".