137712740100 has 144 divisors (see below), whose sum is σ = 438229118208. Its totient is φ = 33177231360.

The previous prime is 137712740071. The next prime is 137712740119. The reversal of 137712740100 is 1047217731.

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 47 ways as a sum of consecutive naturals, for example, 192349 + ... + 558948.

Almost surely, 2^137712740100 is an apocalyptic number.

137712740100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137712740100 is an abundant number, since it is smaller than the sum of its proper divisors (300516378108).

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

137712740100 is a wasteful number, since it uses less digits than its factorization.

137712740100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751374 (or 751367 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 33.

Adding to 137712740100 its reverse (1047217731), we get a palindrome (138759957831).

The spelling of 137712740100 in words is "one hundred thirty-seven billion, seven hundred twelve million, seven hundred forty thousand, one hundred".