78142131 has 8 divisors (see below), whose sum is σ = 115766160. Its totient is φ = 52094736.

The previous prime is 78142123. The next prime is 78142157. The reversal of 78142131 is 13124187.

It is not a de Polignac number, because 78142131 - 2³ = 78142123 is a prime.

It is a super-2 number, since 2×78142131² = 12212385274442322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 2894153 = 78142131 / (7 + 8 + 1 + 4 + 2 + 1 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 78142095 and 78142104.

It is not an unprimeable number, because it can be changed into a prime (78142121) 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 7 ways as a sum of consecutive naturals, for example, 1447050 + ... + 1447103.

It is an arithmetic number, because the mean of its divisors is an integer number (14470770).

Almost surely, 2^78142131 is an apocalyptic number.

78142131 is a deficient number, since it is larger than the sum of its proper divisors (37624029).

78142131 is a wasteful number, since it uses less digits than its factorization.

78142131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894162 (or 2894156 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 78142131 is about 8839.8037874152. The cubic root of 78142131 is about 427.5252308900.

The spelling of 78142131 in words is "seventy-eight million, one hundred forty-two thousand, one hundred thirty-one".