137193196816 has 135 divisors (see below), whose sum is σ = 306490445391. Its totient is φ = 59453002752.

The previous prime is 137193196813. The next prime is 137193196817. The reversal of 137193196816 is 618691391731.

The square root of 137193196816 is 370396.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1238758416 + 135954438400 = 35196^2 + 368720^2 .

It is not an unprimeable number, because it can be changed into a prime (137193196813) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 327429855 + ... + 327430273.

Almost surely, 2^137193196816 is an apocalyptic number.

137193196816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

137193196816 is the 370396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137193196816

137193196816 is an abundant number, since it is smaller than the sum of its proper divisors (169297248575).

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

137193196816 is an equidigital number, since it uses as much as digits as its factorization.

137193196816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 451 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 55.

The spelling of 137193196816 in words is "one hundred thirty-seven billion, one hundred ninety-three million, one hundred ninety-six thousand, eight hundred sixteen".