137842965 has 56 divisors (see below), whose sum is σ = 267172920. Its totient is φ = 67837824.

The previous prime is 137842951. The next prime is 137842973. The reversal of 137842965 is 569248731.

It can be written as a sum of positive squares in 4 ways, for example, as 14699556 + 123143409 = 3834^2 + 11097^2 .

It is not a de Polignac number, because 137842965 - 2¹⁴ = 137826581 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 137842965.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 45931 + ... + 48839.

It is an arithmetic number, because the mean of its divisors is an integer number (4770945).

Almost surely, 2^137842965 is an apocalyptic number.

137842965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137842965 is a deficient number, since it is larger than the sum of its proper divisors (129329955).

137842965 is an equidigital number, since it uses as much as digits as its factorization.

137842965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2945 (or 2930 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 137842965 is about 11740.6543684754. The cubic root of 137842965 is about 516.5688359110.

The spelling of 137842965 in words is "one hundred thirty-seven million, eight hundred forty-two thousand, nine hundred sixty-five".