97067141136 has 135 divisors (see below), whose sum is σ = 316089941661. Its totient is φ = 27725991552.

The previous prime is 97067141123. The next prime is 97067141147. The reversal of 97067141136 is 63114176079.

The square root of 97067141136 is 311556.

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

It can be written as a sum of positive squares in only one way, i.e., 25714046736 + 71353094400 = 160356^2 + 267120^2 .

It is a super-2 number, since 2×97067141136² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 97067141091 and 97067141100.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26168850 + ... + 26172558.

Almost surely, 2^97067141136 is an apocalyptic number.

97067141136 is the 311556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97067141136

97067141136 is an abundant number, since it is smaller than the sum of its proper divisors (219022800525).

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

97067141136 is an equidigital number, since it uses as much as digits as its factorization.

97067141136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7446 (or 3721 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 97067141136 in words is "ninety-seven billion, sixty-seven million, one hundred forty-one thousand, one hundred thirty-six".