151217730048 has 320 divisors, whose sum is σ = 507271818240. Its totient is φ = 38885376000.

The previous prime is 151217730029. The next prime is 151217730061. The reversal of 151217730048 is 840037712151.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 151217729988 and 151217730015.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11939143 + ... + 11951801.

It is an arithmetic number, because the mean of its divisors is an integer number (1585224432).

Almost surely, 2^151217730048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151217730048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253635909120).

151217730048 is an abundant number, since it is smaller than the sum of its proper divisors (356054088192).

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

151217730048 is a wasteful number, since it uses less digits than its factorization.

151217730048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12799 (or 12783 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The spelling of 151217730048 in words is "one hundred fifty-one billion, two hundred seventeen million, seven hundred thirty thousand, forty-eight".