137121337 has 8 divisors (see below), whose sum is σ = 146626632. Its totient is φ = 127776000.

The previous prime is 137121323. The next prime is 137121353. The reversal of 137121337 is 733121731.

It can be written as a sum of positive squares in 4 ways, for example, as 111070521 + 26050816 = 10539^2 + 5104^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 137121337 - 2²³ = 128732729 is a prime.

It is a super-2 number, since 2×137121337² = 37604522121335138, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137121317) 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, 38214 + ... + 41647.

It is an arithmetic number, because the mean of its divisors is an integer number (18328329).

Almost surely, 2^137121337 is an apocalyptic number.

137121337 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

137121337 is a deficient number, since it is larger than the sum of its proper divisors (9505295).

137121337 is a wasteful number, since it uses less digits than its factorization.

137121337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79979.

The product of its digits is 2646, while the sum is 28.

The square root of 137121337 is about 11709.8820233169. The cubic root of 137121337 is about 515.6658205675.

The spelling of 137121337 in words is "one hundred thirty-seven million, one hundred twenty-one thousand, three hundred thirty-seven".