151782076992 has 1120 divisors, whose sum is σ = 560967249920. Its totient is φ = 35846737920.

The previous prime is 151782076987. The next prime is 151782076993. The reversal of 151782076992 is 299670287151.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151782076993) 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 159 ways as a sum of consecutive naturals, for example, 3529815723 + ... + 3529815765.

It is an arithmetic number, because the mean of its divisors is an integer number (500863616).

Almost surely, 2^151782076992 is an apocalyptic number.

151782076992 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 151782076992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280483624960).

151782076992 is an abundant number, since it is smaller than the sum of its proper divisors (409185172928).

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

151782076992 is a wasteful number, since it uses less digits than its factorization.

151782076992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 57.

The spelling of 151782076992 in words is "one hundred fifty-one billion, seven hundred eighty-two million, seventy-six thousand, nine hundred ninety-two".