137771680 has 48 divisors (see below), whose sum is σ = 327196800. Its totient is φ = 54819072.

The previous prime is 137771581. The next prime is 137771681. The reversal of 137771680 is 86177731.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (137771681) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 29677 + ... + 34003.

It is an arithmetic number, because the mean of its divisors is an integer number (6816600).

Almost surely, 2^137771680 is an apocalyptic number.

137771680 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 137771680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163598400).

137771680 is an abundant number, since it is smaller than the sum of its proper divisors (189425120).

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

137771680 is a wasteful number, since it uses less digits than its factorization.

137771680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4541 (or 4533 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 40.

The square root of 137771680 is about 11737.6181570198. The cubic root of 137771680 is about 516.4797733099.

The spelling of 137771680 in words is "one hundred thirty-seven million, seven hundred seventy-one thousand, six hundred eighty".