151820189337456 has 240 divisors, whose sum is σ = 430704667583424. Its totient is φ = 49917652586496.

The previous prime is 151820189337451. The next prime is 151820189337533. The reversal of 151820189337456 is 654733981028151.

151820189337456 is a `hidden beast` number, since 1 + 5 + 1 + 8 + 201 + 8 + 9 + 3 + 374 + 56 = 666.

151820189337456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 151820189337393 and 151820189337402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151820189337451) 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 47 ways as a sum of consecutive naturals, for example, 20036975140 + ... + 20036982716.

It is a 1-persistent number, because it is pandigital, but 2⋅151820189337456 = 303640378674912 is not.

Almost surely, 2^{151820189337456} is an apocalyptic number.

151820189337456 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 151820189337456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215352333791712).

151820189337456 is an abundant number, since it is smaller than the sum of its proper divisors (278884478245968).

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

151820189337456 is a wasteful number, since it uses less digits than its factorization.

151820189337456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12848 (or 12839 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 151820189337456 in words is "one hundred fifty-one trillion, eight hundred twenty billion, one hundred eighty-nine million, three hundred thirty-seven thousand, four hundred fifty-six".