137105640 has 192 divisors, whose sum is σ = 522063360. Its totient is φ = 30551040.

The previous prime is 137105621. The next prime is 137105641. The reversal of 137105640 is 46501731.

137105640 is a `hidden beast` number, since 1 + 3 + 7 + 10 + 5 + 640 = 666.

It is not an unprimeable number, because it can be changed into a prime (137105641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102657 + ... + 103983.

It is an arithmetic number, because the mean of its divisors is an integer number (2719080).

Almost surely, 2^137105640 is an apocalyptic number.

137105640 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 137105640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261031680).

137105640 is an abundant number, since it is smaller than the sum of its proper divisors (384957720).

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

137105640 is a wasteful number, since it uses less digits than its factorization.

137105640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 137105640 is about 11709.2117582696. The cubic root of 137105640 is about 515.6461428245.

The spelling of 137105640 in words is "one hundred thirty-seven million, one hundred five thousand, six hundred forty".