137709408 has 24 divisors (see below), whose sum is σ = 361487448. Its totient is φ = 45903104.

The previous prime is 137709373. The next prime is 137709419. The reversal of 137709408 is 804907731.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 717141 + ... + 717332.

It is an arithmetic number, because the mean of its divisors is an integer number (15061977).

Almost surely, 2^137709408 is an apocalyptic number.

It is an amenable number.

137709408 is an abundant number, since it is smaller than the sum of its proper divisors (223778040).

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

137709408 is a wasteful number, since it uses less digits than its factorization.

137709408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434486 (or 1434478 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 137709408 is about 11734.9651895521. The cubic root of 137709408 is about 516.4019462959.

The spelling of 137709408 in words is "one hundred thirty-seven million, seven hundred nine thousand, four hundred eight".