137083140 has 144 divisors (see below), whose sum is σ = 432432000. Its totient is φ = 35126784.

The previous prime is 137083127. The next prime is 137083153. The reversal of 137083140 is 41380731.

It is an interprime number because it is at equal distance from previous prime (137083127) and next prime (137083153).

It is a congruent number.

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, 688761 + ... + 688959.

It is an arithmetic number, because the mean of its divisors is an integer number (3003000).

Almost surely, 2^137083140 is an apocalyptic number.

137083140 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 137083140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216216000).

137083140 is an abundant number, since it is smaller than the sum of its proper divisors (295348860).

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

137083140 is a wasteful number, since it uses less digits than its factorization.

137083140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 137083140 is about 11708.2509368394. The cubic root of 137083140 is about 515.6179342282.

The spelling of 137083140 in words is "one hundred thirty-seven million, eighty-three thousand, one hundred forty".