137755097 has 8 divisors (see below), whose sum is σ = 146790216. Its totient is φ = 128823552.

The previous prime is 137755069. The next prime is 137755099. The reversal of 137755097 is 790557731.

It can be written as a sum of positive squares in 4 ways, for example, as 17172736 + 120582361 = 4144^2 + 10981^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 137755097 - 2¹² = 137751001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137755099) 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, 23138 + ... + 28475.

It is an arithmetic number, because the mean of its divisors is an integer number (18348777).

Almost surely, 2^137755097 is an apocalyptic number.

137755097 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

137755097 is a deficient number, since it is larger than the sum of its proper divisors (9035119).

137755097 is a wasteful number, since it uses less digits than its factorization.

137755097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51787.

The product of its (nonzero) digits is 231525, while the sum is 44.

The square root of 137755097 is about 11736.9117317973. The cubic root of 137755097 is about 516.4590503095.

The spelling of 137755097 in words is "one hundred thirty-seven million, seven hundred fifty-five thousand, ninety-seven".