137720511264 has 96 divisors (see below), whose sum is σ = 415014727680. Its totient is φ = 39172223232.

The previous prime is 137720511251. The next prime is 137720511287. The reversal of 137720511264 is 462115027731.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309654 + ... + 609365.

It is an arithmetic number, because the mean of its divisors is an integer number (4323070080).

Almost surely, 2^137720511264 is an apocalyptic number.

137720511264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

137720511264 is an abundant number, since it is smaller than the sum of its proper divisors (277294216416).

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

137720511264 is a wasteful number, since it uses less digits than its factorization.

137720511264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919262 (or 919254 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

Adding to 137720511264 its reverse (462115027731), we get a palindrome (599835538995).

The spelling of 137720511264 in words is "one hundred thirty-seven billion, seven hundred twenty million, five hundred eleven thousand, two hundred sixty-four".