150756926844672 has 864 divisors, whose sum is σ = 484195494182400. Its totient is φ = 46636782206976.

The previous prime is 150756926844659. The next prime is 150756926844737. The reversal of 150756926844672 is 276448629657051.

150756926844672 is a `hidden beast` number, since 1 + 5 + 0 + 7 + 5 + 69 + 26 + 84 + 467 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×150756926844672² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 150756926844672.

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 95 ways as a sum of consecutive naturals, for example, 51931423573 + ... + 51931426475.

It is an arithmetic number, because the mean of its divisors is an integer number (560411451600).

Almost surely, 2^{150756926844672} is an apocalyptic number.

150756926844672 is a gapful number since it is divisible by the number (12) 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 150756926844672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242097747091200).

150756926844672 is an abundant number, since it is smaller than the sum of its proper divisors (333438567337728).

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

150756926844672 is an equidigital number, since it uses as much as digits as its factorization.

150756926844672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3835 (or 3809 counting only the distinct ones).

The product of its (nonzero) digits is 1219276800, while the sum is 72.

The spelling of 150756926844672 in words is "one hundred fifty trillion, seven hundred fifty-six billion, nine hundred twenty-six million, eight hundred forty-four thousand, six hundred seventy-two".