151873583680 has 448 divisors, whose sum is σ = 455773828608. Its totient is φ = 46926397440.

The previous prime is 151873583657. The next prime is 151873583681. The reversal of 151873583680 is 86385378151.

151873583680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (151873583681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 342829539 + ... + 342829981.

It is an arithmetic number, because the mean of its divisors is an integer number (1017352296).

Almost surely, 2^151873583680 is an apocalyptic number.

151873583680 is a gapful number since it is divisible by the number (10) 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 151873583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227886914304).

151873583680 is an abundant number, since it is smaller than the sum of its proper divisors (303900244928).

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

151873583680 is a wasteful number, since it uses less digits than its factorization.

151873583680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 55.

The spelling of 151873583680 in words is "one hundred fifty-one billion, eight hundred seventy-three million, five hundred eighty-three thousand, six hundred eighty".