152847970868736 has 1440 divisors, whose sum is σ = 527868276455520. Its totient is φ = 42291991019520.

The previous prime is 152847970868647. The next prime is 152847970868797. The reversal of 152847970868736 is 637868079748251.

152847970868736 is a `hidden beast` number, since 1 + 5 + 2 + 8 + 479 + 70 + 8 + 6 + 8 + 73 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 540098836851 + ... + 540098837133.

It is an arithmetic number, because the mean of its divisors is an integer number (366575191983).

It is a 1-persistent number, because it is pandigital, but 2⋅152847970868736 = 305695941737472 is not.

Almost surely, 2^{152847970868736} is an apocalyptic number.

152847970868736 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 152847970868736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263934138227760).

152847970868736 is an abundant number, since it is smaller than the sum of its proper divisors (375020305586784).

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

152847970868736 is a wasteful number, since it uses less digits than its factorization.

152847970868736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 6827950080, while the sum is 81.

The spelling of 152847970868736 in words is "one hundred fifty-two trillion, eight hundred forty-seven billion, nine hundred seventy million, eight hundred sixty-eight thousand, seven hundred thirty-six".