137774340 has 144 divisors (see below), whose sum is σ = 459950400. Its totient is φ = 33104640.

The previous prime is 137774333. The next prime is 137774353. The reversal of 137774340 is 43477731.

137774340 is digitally balanced in base 3, 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 137774295 and 137774304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294787 + ... + 295253.

It is an arithmetic number, because the mean of its divisors is an integer number (3194100).

Almost surely, 2^137774340 is an apocalyptic number.

137774340 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 137774340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229975200).

137774340 is an abundant number, since it is smaller than the sum of its proper divisors (322176060).

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

137774340 is a wasteful number, since it uses less digits than its factorization.

137774340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 137774340 is about 11737.7314673663. The cubic root of 137774340 is about 516.4830972328.

It can be divided in two parts, 137 and 774340, that added together give a palindrome (774477).

The spelling of 137774340 in words is "one hundred thirty-seven million, seven hundred seventy-four thousand, three hundred forty".