167541152740013 has 16 divisors (see below), whose sum is σ = 180551052734640. Its totient is φ = 154548731690496.

The previous prime is 167541152739979. The next prime is 167541152740033. The reversal of 167541152740013 is 310047251145761.

167541152740013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 30609076307209 + 136932076432804 = 5532547^2 + 11701798^2 .

It is not a de Polignac number, because 167541152740013 - 2⁸ = 167541152739757 is a prime.

It is a super-2 number, since 2×167541152740013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 167541152740013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167541152740033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120347123 + ... + 121731311.

It is an arithmetic number, because the mean of its divisors is an integer number (11284440795915).

Almost surely, 2^{167541152740013} is an apocalyptic number.

167541152740013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

167541152740013 is a deficient number, since it is larger than the sum of its proper divisors (13009899994627).

167541152740013 is a wasteful number, since it uses less digits than its factorization.

167541152740013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390496.

The product of its (nonzero) digits is 705600, while the sum is 47.

The spelling of 167541152740013 in words is "one hundred sixty-seven trillion, five hundred forty-one billion, one hundred fifty-two million, seven hundred forty thousand, thirteen".