137807868 has 72 divisors (see below), whose sum is σ = 357146496. Its totient is φ = 41323040.

The previous prime is 137807833. The next prime is 137807903. The reversal of 137807868 is 868708731.

It is an interprime number because it is at equal distance from previous prime (137807833) and next prime (137807903).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154921 + ... + 155807.

It is an arithmetic number, because the mean of its divisors is an integer number (4960368).

Almost surely, 2^137807868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137807868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178573248).

137807868 is an abundant number, since it is smaller than the sum of its proper divisors (219338628).

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

137807868 is a wasteful number, since it uses less digits than its factorization.

137807868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The square root of 137807868 is about 11739.1595951329. The cubic root of 137807868 is about 516.5249899897.

The spelling of 137807868 in words is "one hundred thirty-seven million, eight hundred seven thousand, eight hundred sixty-eight".