137772340 has 24 divisors (see below), whose sum is σ = 290194632. Its totient is φ = 54942720.

The previous prime is 137772337. The next prime is 137772361. The reversal of 137772340 is 43277731.

It can be written as a sum of positive squares in 4 ways, for example, as 19963024 + 117809316 = 4468^2 + 10854^2 .

It is a junction number, because it is equal to n+sod(n) for n = 137772296 and 137772305.

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 7 ways as a sum of consecutive naturals, for example, 3481 + ... + 16960.

It is an arithmetic number, because the mean of its divisors is an integer number (12091443).

Almost surely, 2^137772340 is an apocalyptic number.

137772340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137772340 is an abundant number, since it is smaller than the sum of its proper divisors (152422292).

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

137772340 is a wasteful number, since it uses less digits than its factorization.

137772340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20787 (or 20785 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 34.

The square root of 137772340 is about 11737.6462717190. The cubic root of 137772340 is about 516.4805980466.

The spelling of 137772340 in words is "one hundred thirty-seven million, seven hundred seventy-two thousand, three hundred forty".