137832768 has 84 divisors (see below), whose sum is σ = 396979648. Its totient is φ = 45722880.

The previous prime is 137832763. The next prime is 137832803. The reversal of 137832768 is 867238731.

137832768 is a `hidden beast` number, since 1 + 378 + 3 + 276 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137832763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155655 + ... + 156537.

Almost surely, 2^137832768 is an apocalyptic number.

137832768 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 137832768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198489824).

137832768 is an abundant number, since it is smaller than the sum of its proper divisors (259146880).

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

137832768 is a wasteful number, since it uses less digits than its factorization.

137832768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1159 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 137832768 is about 11740.2201001514. The cubic root of 137832768 is about 516.5560977870.

The spelling of 137832768 in words is "one hundred thirty-seven million, eight hundred thirty-two thousand, seven hundred sixty-eight".