137650968 has 256 divisors, whose sum is σ = 483840000. Its totient is φ = 35292672.

The previous prime is 137650967. The next prime is 137650969. The reversal of 137650968 is 869056731.

It is a happy number.

137650968 is a `hidden beast` number, since 13 + 76 + 509 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (137650967) and next prime (137650969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137650963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 923758 + ... + 923906.

It is an arithmetic number, because the mean of its divisors is an integer number (1890000).

Almost surely, 2^137650968 is an apocalyptic number.

137650968 is a gapful number since it is divisible by the number (18) 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 137650968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241920000).

137650968 is an abundant number, since it is smaller than the sum of its proper divisors (346189032).

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

137650968 is a wasteful number, since it uses less digits than its factorization.

137650968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 137650968 is about 11732.4749307211. The cubic root of 137650968 is about 516.3288871391.

The spelling of 137650968 in words is "one hundred thirty-seven million, six hundred fifty thousand, nine hundred sixty-eight".