137004785740 has 96 divisors (see below), whose sum is σ = 296855798400. Its totient is φ = 53080473600.

The previous prime is 137004785737. The next prime is 137004785747. The reversal of 137004785740 is 47587400731.

It is a super-2 number, since 2×137004785740² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137004785747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143761104 + ... + 143762056.

It is an arithmetic number, because the mean of its divisors is an integer number (3092247900).

Almost surely, 2^137004785740 is an apocalyptic number.

137004785740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137004785740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148427899200).

137004785740 is an abundant number, since it is smaller than the sum of its proper divisors (159851012660).

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

137004785740 is a wasteful number, since it uses less digits than its factorization.

137004785740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 46.

The spelling of 137004785740 in words is "one hundred thirty-seven billion, four million, seven hundred eighty-five thousand, seven hundred forty".