150978284337296 has 80 divisors (see below), whose sum is σ = 319513284091008. Its totient is φ = 68689154688000.

The previous prime is 150978284337197. The next prime is 150978284337299. The reversal of 150978284337296 is 692733482879051.

It is not an unprimeable number, because it can be changed into a prime (150978284337299) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86220071 + ... + 87953721.

It is a 2-persistent number, because it is pandigital, and so is 2⋅150978284337296 = 301956568674592, but 3⋅150978284337296 = 452934853011888 is not.

Almost surely, 2^{150978284337296} is an apocalyptic number.

150978284337296 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 150978284337296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159756642045504).

150978284337296 is an abundant number, since it is smaller than the sum of its proper divisors (168534999753712).

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

150978284337296 is a wasteful number, since it uses less digits than its factorization.

150978284337296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739640 (or 1739634 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 74.

The spelling of 150978284337296 in words is "one hundred fifty trillion, nine hundred seventy-eight billion, two hundred eighty-four million, three hundred thirty-seven thousand, two hundred ninety-six".