137071680 has 224 divisors, whose sum is σ = 475341696. Its totient is φ = 33325056.

The previous prime is 137071667. The next prime is 137071687. The reversal of 137071680 is 86170731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137071687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 603727 + ... + 603953.

Almost surely, 2^137071680 is an apocalyptic number.

137071680 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 137071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237670848).

137071680 is an abundant number, since it is smaller than the sum of its proper divisors (338270016).

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

137071680 is a wasteful number, since it uses less digits than its factorization.

137071680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 137071680 is about 11707.7615281488. The cubic root of 137071680 is about 515.6035654634.

The spelling of 137071680 in words is "one hundred thirty-seven million, seventy-one thousand, six hundred eighty".