137675760 has 160 divisors (see below), whose sum is σ = 447828480. Its totient is φ = 34944000.

The previous prime is 137675753. The next prime is 137675761. The reversal of 137675760 is 67576731.

137675760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×137675760² = 37909229783155200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137675761) 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, 911685 + ... + 911835.

It is an arithmetic number, because the mean of its divisors is an integer number (2798928).

Almost surely, 2^137675760 is an apocalyptic number.

137675760 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 137675760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223914240).

137675760 is an abundant number, since it is smaller than the sum of its proper divisors (310152720).

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

137675760 is a wasteful number, since it uses less digits than its factorization.

137675760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 42.

The square root of 137675760 is about 11733.5314377216. The cubic root of 137675760 is about 516.3598835486.

The spelling of 137675760 in words is "one hundred thirty-seven million, six hundred seventy-five thousand, seven hundred sixty".