145700856 has 224 divisors, whose sum is σ = 484767360. Its totient is φ = 40170816.

The previous prime is 145700833. The next prime is 145700881. The reversal of 145700856 is 658007541.

145700856 is a `hidden beast` number, since 1 + 4 + 570 + 0 + 85 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 145700856.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1755391 + ... + 1755473.

It is an arithmetic number, because the mean of its divisors is an integer number (2164140).

Almost surely, 2^145700856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145700856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242383680).

145700856 is an abundant number, since it is smaller than the sum of its proper divisors (339066504).

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

145700856 is an equidigital number, since it uses as much as digits as its factorization.

145700856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 145700856 is about 12070.6609595332. The cubic root of 145700856 is about 526.2038659031.

The spelling of 145700856 in words is "one hundred forty-five million, seven hundred thousand, eight hundred fifty-six".