137970336 has 192 divisors, whose sum is σ = 441262080. Its totient is φ = 36910080.

The previous prime is 137970311. The next prime is 137970337. The reversal of 137970336 is 633079731.

It is a junction number, because it is equal to n+sod(n) for n = 137970294 and 137970303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137970337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 770695 + ... + 770873.

It is an arithmetic number, because the mean of its divisors is an integer number (2298240).

Almost surely, 2^137970336 is an apocalyptic number.

137970336 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 137970336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220631040).

137970336 is an abundant number, since it is smaller than the sum of its proper divisors (303291744).

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

137970336 is a wasteful number, since it uses less digits than its factorization.

137970336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 39.

The square root of 137970336 is about 11746.0774729269. The cubic root of 137970336 is about 516.7278952527.

The spelling of 137970336 in words is "one hundred thirty-seven million, nine hundred seventy thousand, three hundred thirty-six".