137896668 has 144 divisors (see below), whose sum is σ = 445186560. Its totient is φ = 36345024.

The previous prime is 137896667. The next prime is 137896687. The reversal of 137896668 is 866698731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137896667) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 87673 + ... + 89231.

Almost surely, 2^137896668 is an apocalyptic number.

137896668 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 137896668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222593280).

137896668 is an abundant number, since it is smaller than the sum of its proper divisors (307289892).

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

137896668 is a wasteful number, since it uses less digits than its factorization.

137896668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1584 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 137896668 is about 11742.9411988650. The cubic root of 137896668 is about 516.6359115003.

The spelling of 137896668 in words is "one hundred thirty-seven million, eight hundred ninety-six thousand, six hundred sixty-eight".