137907506881 has 3 divisors (see below), whose sum is σ = 137907878241. Its totient is φ = 137907135522.

The previous prime is 137907506783. The next prime is 137907506921. The reversal of 137907506881 is 188605709731.

It is a happy number.

The square root of 137907506881 is 371359.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 137907506881 - 2²¹ = 137905409729 is a prime.

It is a super-2 number, since 2×137907506881² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137907536881) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 185680 + ... + 557038.

It is an arithmetic number, because the mean of its divisors is an integer number (45969292747).

Almost surely, 2^137907506881 is an apocalyptic number.

137907506881 is the 371359-th square number.

137907506881 is the 185680-th centered octagonal number.

It is an amenable number.

137907506881 is a deficient number, since it is larger than the sum of its proper divisors (371360).

137907506881 is an frugal number, since it uses more digits than its factorization.

137907506881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742718 (or 371359 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 55.

The spelling of 137907506881 in words is "one hundred thirty-seven billion, nine hundred seven million, five hundred six thousand, eight hundred eighty-one".