151430111331840 has 1280 divisors, whose sum is σ = 607697354880000. Its totient is φ = 35405259079680.

The previous prime is 151430111331833. The next prime is 151430111331871. The reversal of 151430111331840 is 48133111034151.

151430111331840 is a `hidden beast` number, since 1 + 5 + 1 + 4 + 301 + 11 + 331 + 8 + 4 + 0 = 666.

151430111331840 is digitally balanced in base 3, 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 (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 151430111331795 and 151430111331804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23129691447 + ... + 23129697993.

It is an arithmetic number, because the mean of its divisors is an integer number (474763558500).

Almost surely, 2^{151430111331840} is an apocalyptic number.

151430111331840 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 151430111331840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303848677440000).

151430111331840 is an abundant number, since it is smaller than the sum of its proper divisors (456267243548160).

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

151430111331840 is a wasteful number, since it uses less digits than its factorization.

151430111331840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7668 (or 7646 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 151430111331840 its reverse (48133111034151), we get a palindrome (199563222365991).

The spelling of 151430111331840 in words is "one hundred fifty-one trillion, four hundred thirty billion, one hundred eleven million, three hundred thirty-one thousand, eight hundred forty".