137319840 has 384 divisors, whose sum is σ = 580608000. Its totient is φ = 29611008.

The previous prime is 137319827. The next prime is 137319869. The reversal of 137319840 is 48913731.

It is a happy number.

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 = 137319795 and 137319804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 574441 + ... + 574679.

It is an arithmetic number, because the mean of its divisors is an integer number (1512000).

Almost surely, 2^137319840 is an apocalyptic number.

137319840 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 137319840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290304000).

137319840 is an abundant number, since it is smaller than the sum of its proper divisors (443288160).

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

137319840 is a wasteful number, since it uses less digits than its factorization.

137319840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 137319840 is about 11718.3548333373. The cubic root of 137319840 is about 515.9145342495.

The spelling of 137319840 in words is "one hundred thirty-seven million, three hundred nineteen thousand, eight hundred forty".