137408969418 has 288 divisors, whose sum is σ = 365278325760. Its totient is φ = 34241840640.

The previous prime is 137408969393. The next prime is 137408969429. The reversal of 137408969418 is 814969804731.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75873733 + ... + 75875543.

It is an arithmetic number, because the mean of its divisors is an integer number (1268327520).

Almost surely, 2^137408969418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137408969418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182639162880).

137408969418 is an abundant number, since it is smaller than the sum of its proper divisors (227869356342).

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

137408969418 is a wasteful number, since it uses less digits than its factorization.

137408969418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 137408969418 in words is "one hundred thirty-seven billion, four hundred eight million, nine hundred sixty-nine thousand, four hundred eighteen".