137787779220 has 192 divisors, whose sum is σ = 499829729280. Its totient is φ = 27541596672.

The previous prime is 137787779209. The next prime is 137787779287. The reversal of 137787779220 is 22977787731.

137787779220 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 560362 + ... + 767841.

It is an arithmetic number, because the mean of its divisors is an integer number (2603279840).

Almost surely, 2^137787779220 is an apocalyptic number.

137787779220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137787779220 is an abundant number, since it is smaller than the sum of its proper divisors (362041950060).

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

137787779220 is a wasteful number, since it uses less digits than its factorization.

137787779220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328254 (or 1328252 counting only the distinct ones).

The product of its (nonzero) digits is 14521248, while the sum is 60.

The spelling of 137787779220 in words is "one hundred thirty-seven billion, seven hundred eighty-seven million, seven hundred seventy-nine thousand, two hundred twenty".