137514656 has 48 divisors (see below), whose sum is σ = 279068328. Its totient is φ = 66662400.

The previous prime is 137514653. The next prime is 137514659. The reversal of 137514656 is 656415731.

137514656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137514653) and next prime (137514659).

It can be written as a sum of positive squares in 4 ways, for example, as 98327056 + 39187600 = 9916^2 + 6260^2 .

It is a super-2 number, since 2×137514656² = 37820561229596672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137514653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 368486 + ... + 368858.

Almost surely, 2^137514656 is an apocalyptic number.

137514656 is a gapful number since it is divisible by the number (16) 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 137514656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139534164).

137514656 is an abundant number, since it is smaller than the sum of its proper divisors (141553672).

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

137514656 is a wasteful number, since it uses less digits than its factorization.

137514656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 697 counting only the distinct ones).

The product of its digits is 75600, while the sum is 38.

The square root of 137514656 is about 11726.6643168465. The cubic root of 137514656 is about 516.1583953765.

The spelling of 137514656 in words is "one hundred thirty-seven million, five hundred fourteen thousand, six hundred fifty-six".