152945856 has 126 divisors (see below), whose sum is σ = 510059940. Its totient is φ = 43690752.

The previous prime is 152945813. The next prime is 152945861. The reversal of 152945856 is 658549251.

152945856 is a `hidden beast` number, since 1 + 529 + 45 + 85 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-3 number, since 3×152945856³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25515 + ... + 30933.

Almost surely, 2^152945856 is an apocalyptic number.

152945856 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 152945856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255029970).

152945856 is an abundant number, since it is smaller than the sum of its proper divisors (357114084).

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

152945856 is a wasteful number, since it uses less digits than its factorization.

152945856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5451 (or 5431 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 152945856 is about 12367.1280417080. The cubic root of 152945856 is about 534.7850255760.

The spelling of 152945856 in words is "one hundred fifty-two million, nine hundred forty-five thousand, eight hundred fifty-six".