151478890560 has 336 divisors, whose sum is σ = 563820356736. Its totient is φ = 38637637632.

The previous prime is 151478890531. The next prime is 151478890573. The reversal of 151478890560 is 65098874151.

It is a happy number.

151478890560 is a `hidden beast` number, since 1 + 5 + 1 + 4 + 78 + 8 + 9 + 0 + 560 = 666.

151478890560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×151478890560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 151478890497 and 151478890506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1746132 + ... + 1830828.

It is an arithmetic number, because the mean of its divisors is an integer number (1678036776).

Almost surely, 2^151478890560 is an apocalyptic number.

151478890560 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 151478890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281910178368).

151478890560 is an abundant number, since it is smaller than the sum of its proper divisors (412341466176).

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

151478890560 is an equidigital number, since it uses as much as digits as its factorization.

151478890560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84752 (or 84730 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 151478890560 in words is "one hundred fifty-one billion, four hundred seventy-eight million, eight hundred ninety thousand, five hundred sixty".