137078622131364 has 243 divisors, whose sum is σ = 372441589897923. Its totient is φ = 42506432394624.

The previous prime is 137078622131351. The next prime is 137078622131371. The reversal of 137078622131364 is 463131226870731.

The square root of 137078622131364 is 11708058.

It is a perfect power (a square), and thus also a powerful number.

137078622131364 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 7 + 8 + 62 + 213 + 1 + 364 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7648864172964 + 129429757958400 = 2765658^2 + 11376720^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 137078622131364.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 59781343002 + ... + 59781345294.

Almost surely, 2^{137078622131364} is an apocalyptic number.

137078622131364 is the 11708058-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137078622131364

137078622131364 is an abundant number, since it is smaller than the sum of its proper divisors (235362967766559).

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

137078622131364 is an equidigital number, since it uses as much as digits as its factorization.

137078622131364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4716 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 137078622131364 in words is "one hundred thirty-seven trillion, seventy-eight billion, six hundred twenty-two million, one hundred thirty-one thousand, three hundred sixty-four".