137137216477348 has 24 divisors (see below), whose sum is σ = 246939217229880. Its totient is φ = 66608773171200.

The previous prime is 137137216477343. The next prime is 137137216477403. The reversal of 137137216477348 is 843774612731731.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 32070452434084 + 105066764043264 = 5663078^2 + 10250208^2 .

It is a super-2 number, since 2×137137216477348² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137137216477348.

It is not an unprimeable number, because it can be changed into a prime (137137216477343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3202323453 + ... + 3202366276.

It is an arithmetic number, because the mean of its divisors is an integer number (10289134051245).

Almost surely, 2^{137137216477348} is an apocalyptic number.

It is an amenable number.

137137216477348 is a deficient number, since it is larger than the sum of its proper divisors (109802000752532).

137137216477348 is a wasteful number, since it uses less digits than its factorization.

137137216477348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6404689887 (or 6404689885 counting only the distinct ones).

The product of its digits is 99574272, while the sum is 64.

The spelling of 137137216477348 in words is "one hundred thirty-seven trillion, one hundred thirty-seven billion, two hundred sixteen million, four hundred seventy-seven thousand, three hundred forty-eight".