137561765 has 32 divisors (see below), whose sum is σ = 188116992. Its totient is φ = 95680000.

The previous prime is 137561759. The next prime is 137561777. The reversal of 137561765 is 567165731.

It is not a de Polignac number, because 137561765 - 2¹⁴ = 137545381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118940 + ... + 120090.

It is an arithmetic number, because the mean of its divisors is an integer number (5878656).

Almost surely, 2^137561765 is an apocalyptic number.

It is an amenable number.

137561765 is a deficient number, since it is larger than the sum of its proper divisors (50555227).

137561765 is a wasteful number, since it uses less digits than its factorization.

137561765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261.

The product of its digits is 132300, while the sum is 41.

The square root of 137561765 is about 11728.6727723132. The cubic root of 137561765 is about 516.2173295305.

The spelling of 137561765 in words is "one hundred thirty-seven million, five hundred sixty-one thousand, seven hundred sixty-five".