153347130832896 has 5832 divisors, whose sum is σ = 675322255291320. Its totient is φ = 33317052088320.

The previous prime is 153347130832871. The next prime is 153347130832897. The reversal of 153347130832896 is 698238031743351.

153347130832896 is a `hidden beast` number, since 1 + 5 + 3 + 3 + 47 + 1 + 308 + 3 + 289 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153347130832897) by changing a digit.

It is a polite number, since it can be written in 485 ways as a sum of consecutive naturals, for example, 6667266557941 + ... + 6667266557963.

It is an arithmetic number, because the mean of its divisors is an integer number (115795997135).

It is a 1-persistent number, because it is pandigital, but 2⋅153347130832896 = 306694261665792 is not.

Almost surely, 2^{153347130832896} is an apocalyptic number.

153347130832896 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 153347130832896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337661127645660).

153347130832896 is an abundant number, since it is smaller than the sum of its proper divisors (521975124458424).

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

153347130832896 is a wasteful number, since it uses less digits than its factorization.

153347130832896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 153347130832896 in words is "one hundred fifty-three trillion, three hundred forty-seven billion, one hundred thirty million, eight hundred thirty-two thousand, eight hundred ninety-six".