150154510968 has 512 divisors, whose sum is σ = 532434124800. Its totient is φ = 38080627200.

The previous prime is 150154510951. The next prime is 150154510969. The reversal of 150154510968 is 869015451051.

150154510968 is a `hidden beast` number, since 1 + 5 + 0 + 1 + 545 + 10 + 96 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150154510969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 141521158 + ... + 141522218.

It is an arithmetic number, because the mean of its divisors is an integer number (1039910400).

Almost surely, 2^150154510968 is an apocalyptic number.

150154510968 is a gapful number since it is divisible by the number (18) 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 150154510968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266217062400).

150154510968 is an abundant number, since it is smaller than the sum of its proper divisors (382279613832).

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

150154510968 is a wasteful number, since it uses less digits than its factorization.

150154510968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 45.

The spelling of 150154510968 in words is "one hundred fifty billion, one hundred fifty-four million, five hundred ten thousand, nine hundred sixty-eight".