137345376 has 192 divisors, whose sum is σ = 449003520. Its totient is φ = 35873280.

The previous prime is 137345359. The next prime is 137345381. The reversal of 137345376 is 673543731.

It is a happy number.

137345376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 395635 + ... + 395981.

It is an arithmetic number, because the mean of its divisors is an integer number (2338560).

Almost surely, 2^137345376 is an apocalyptic number.

137345376 is a gapful number since it is divisible by the number (16) 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 137345376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224501760).

137345376 is an abundant number, since it is smaller than the sum of its proper divisors (311658144).

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

137345376 is a wasteful number, since it uses less digits than its factorization.

137345376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 409 counting only the distinct ones).

The product of its digits is 158760, while the sum is 39.

The square root of 137345376 is about 11719.4443554291. Note that the first 3 decimals coincide. The cubic root of 137345376 is about 515.9465120929.

It can be divided in two parts, 13734 and 5376, that added together give a triangular number (19110 = T₁₉₅).

The spelling of 137345376 in words is "one hundred thirty-seven million, three hundred forty-five thousand, three hundred seventy-six".