137136748417816 has 48 divisors (see below), whose sum is σ = 299355419995200. Its totient is φ = 58725070254144.

The previous prime is 137136748417769. The next prime is 137136748417817. The reversal of 137136748417816 is 618714847631731.

It is a super-2 number, since 2×137136748417816² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137136748417817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141844776 + ... + 142808311.

It is an arithmetic number, because the mean of its divisors is an integer number (6236571249900).

Almost surely, 2^{137136748417816} is an apocalyptic number.

It is an amenable number.

137136748417816 is an abundant number, since it is smaller than the sum of its proper divisors (162218671577384).

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

137136748417816 is a wasteful number, since it uses less digits than its factorization.

137136748417816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284654336 (or 284654325 counting only the distinct ones).

The product of its digits is 113799168, while the sum is 67.

The spelling of 137136748417816 in words is "one hundred thirty-seven trillion, one hundred thirty-six billion, seven hundred forty-eight million, four hundred seventeen thousand, eight hundred sixteen".