151289856 has 192 divisors, whose sum is σ = 477094800. Its totient is φ = 47775744.

The previous prime is 151289741. The next prime is 151289857. The reversal of 151289856 is 658982151.

It is a happy number.

151289856 is a `hidden beast` number, since 1 + 512 + 89 + 8 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

Its product of digits (172800) is a multiple of the sum of its prime divisors (24).

It is not an unprimeable number, because it can be changed into a prime (151289857) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7962615 + ... + 7962633.

Almost surely, 2^151289856 is an apocalyptic number.

151289856 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 151289856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238547400).

151289856 is an abundant number, since it is smaller than the sum of its proper divisors (325804944).

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

151289856 is an frugal number, since it uses more digits than its factorization.

151289856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 24 counting only the distinct ones).

The product of its digits is 172800, while the sum is 45.

The square root of 151289856 is about 12299.9941463401. The cubic root of 151289856 is about 532.8479138795.

The spelling of 151289856 in words is "one hundred fifty-one million, two hundred eighty-nine thousand, eight hundred fifty-six".