137785780 has 48 divisors (see below), whose sum is σ = 324205056. Its totient is φ = 48746880.

The previous prime is 137785771. The next prime is 137785783. The reversal of 137785780 is 87587731.

It is a happy number.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 137785780.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137785783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324 + ... + 16603.

It is an arithmetic number, because the mean of its divisors is an integer number (6754272).

Almost surely, 2^137785780 is an apocalyptic number.

137785780 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 137785780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162102528).

137785780 is an abundant number, since it is smaller than the sum of its proper divisors (186419276).

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

137785780 is a wasteful number, since it uses less digits than its factorization.

137785780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16984 (or 16982 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 46.

The square root of 137785780 is about 11738.2187745842. The cubic root of 137785780 is about 516.4973921131.

The spelling of 137785780 in words is "one hundred thirty-seven million, seven hundred eighty-five thousand, seven hundred eighty".