150767463152768 has 512 divisors, whose sum is σ = 407580349478400. Its totient is φ = 53936111616000.

The previous prime is 150767463152767. The next prime is 150767463152861. The reversal of 150767463152768 is 867251364767051.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a junction number, because it is equal to n+sod(n) for n = 150767463152698 and 150767463152707.

It is not an unprimeable number, because it can be changed into a prime (150767463152767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1985285678 + ... + 1985361618.

It is an arithmetic number, because the mean of its divisors is an integer number (796055370075).

Almost surely, 2^{150767463152768} 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 150767463152768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203790174739200).

150767463152768 is an abundant number, since it is smaller than the sum of its proper divisors (256812886325632).

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

150767463152768 is an equidigital number, since it uses as much as digits as its factorization.

150767463152768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76065 (or 76019 counting only the distinct ones).

The product of its (nonzero) digits is 355622400, while the sum is 68.

The spelling of 150767463152768 in words is "one hundred fifty trillion, seven hundred sixty-seven billion, four hundred sixty-three million, one hundred fifty-two thousand, seven hundred sixty-eight".