137355965 has 8 divisors (see below), whose sum is σ = 164919768. Its totient is φ = 109823040.

The previous prime is 137355941. The next prime is 137355979. The reversal of 137355965 is 569553731.

It can be written as a sum of positive squares in 4 ways, for example, as 1819801 + 135536164 = 1349^2 + 11642^2 .

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

It is not a de Polignac number, because 137355965 - 2⁶ = 137355901 is a prime.

It is a super-3 number, since 3×137355965³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3575 + ... + 16955.

It is an arithmetic number, because the mean of its divisors is an integer number (20614971).

Almost surely, 2^137355965 is an apocalyptic number.

It is an amenable number.

137355965 is a deficient number, since it is larger than the sum of its proper divisors (27563803).

137355965 is a wasteful number, since it uses less digits than its factorization.

137355965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15439.

The product of its digits is 425250, while the sum is 44.

The square root of 137355965 is about 11719.8961172870. The cubic root of 137355965 is about 515.9597711662.

The spelling of 137355965 in words is "one hundred thirty-seven million, three hundred fifty-five thousand, nine hundred sixty-five".