156066768 has 270 divisors, whose sum is σ = 529665318. Its totient is φ = 42831360.

The previous prime is 156066767. The next prime is 156066769. The reversal of 156066768 is 867660651.

It is an interprime number because it is at equal distance from previous prime (156066767) and next prime (156066769).

It can be written as a sum of positive squares in 3 ways, for example, as 2108304 + 153958464 = 1452^2 + 12408^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156066767) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 2944630 + ... + 2944682.

Almost surely, 2^156066768 is an apocalyptic number.

156066768 is a gapful number since it is divisible by the number (18) 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 156066768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264832659).

156066768 is an abundant number, since it is smaller than the sum of its proper divisors (373598550).

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

156066768 is a wasteful number, since it uses less digits than its factorization.

156066768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 156066768 is about 12492.6685700054. The cubic root of 156066768 is about 538.3980507544.

The spelling of 156066768 in words is "one hundred fifty-six million, sixty-six thousand, seven hundred sixty-eight".