137916768 has 144 divisors (see below), whose sum is σ = 411844608. Its totient is φ = 40339200.

The previous prime is 137916749. The next prime is 137916769. The reversal of 137916768 is 867619731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137916769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359905 + ... + 360287.

It is an arithmetic number, because the mean of its divisors is an integer number (2860032).

Almost surely, 2^137916768 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 137916768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205922304).

137916768 is an abundant number, since it is smaller than the sum of its proper divisors (273927840).

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

137916768 is a wasteful number, since it uses less digits than its factorization.

137916768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 430 counting only the distinct ones).

The product of its digits is 381024, while the sum is 48.

The square root of 137916768 is about 11743.7970009703. The cubic root of 137916768 is about 516.6610121245.

The spelling of 137916768 in words is "one hundred thirty-seven million, nine hundred sixteen thousand, seven hundred sixty-eight".