78144156 has 96 divisors (see below), whose sum is σ = 213803520. Its totient is φ = 24634368.

The previous prime is 78144151. The next prime is 78144167. The reversal of 78144156 is 65144187.

It is a happy number.

It is a super-2 number, since 2×78144156² = 12213018233904672, which contains 22 as substring.

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

Its product of digits (26880) is a multiple of the sum of its prime divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 78144156.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78144151) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 404796 + ... + 404988.

It is an arithmetic number, because the mean of its divisors is an integer number (2227120).

Almost surely, 2^78144156 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 78144156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106901760).

78144156 is an abundant number, since it is smaller than the sum of its proper divisors (135659364).

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

78144156 is a wasteful number, since it uses less digits than its factorization.

78144156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 78144156 is about 8839.9183254146. The cubic root of 78144156 is about 427.5289238664.

The spelling of 78144156 in words is "seventy-eight million, one hundred forty-four thousand, one hundred fifty-six".