137714688 has 176 divisors, whose sum is σ = 433308960. Its totient is φ = 43057152.

The previous prime is 137714677. The next prime is 137714699. The reversal of 137714688 is 886417731.

It is an interprime number because it is at equal distance from previous prime (137714677) and next prime (137714699).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469870 + ... + 470162.

Almost surely, 2^137714688 is an apocalyptic number.

137714688 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 137714688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216654480).

137714688 is an abundant number, since it is smaller than the sum of its proper divisors (295594272).

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

137714688 is a wasteful number, since it uses less digits than its factorization.

137714688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 315 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 137714688 is about 11735.1901561074. The cubic root of 137714688 is about 516.4085461051.

The spelling of 137714688 in words is "one hundred thirty-seven million, seven hundred fourteen thousand, six hundred eighty-eight".