137284083072 has 48 divisors (see below), whose sum is σ = 395049252780. Its totient is φ = 45761360640.

The previous prime is 137284083031. The next prime is 137284083077. The reversal of 137284083072 is 270380482731.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137284083077) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59583954 + ... + 59586257.

Almost surely, 2^137284083072 is an apocalyptic number.

137284083072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137284083072 is an abundant number, since it is smaller than the sum of its proper divisors (257765169708).

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

137284083072 is a wasteful number, since it uses less digits than its factorization.

137284083072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119170231 (or 119170216 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 137284083072 in words is "one hundred thirty-seven billion, two hundred eighty-four million, eighty-three thousand, seventy-two".