137763765 has 48 divisors (see below), whose sum is σ = 248063088. Its totient is φ = 70668288.

The previous prime is 137763763. The next prime is 137763779. The reversal of 137763765 is 567367731.

It is a happy number.

137763765 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 637 + 6 + 5 = 666.

137763765 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2692881 + 135070884 = 1641^2 + 11622^2 .

It is not a de Polignac number, because 137763765 - 2¹ = 137763763 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 137763765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137763763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161079 + ... + 161931.

It is an arithmetic number, because the mean of its divisors is an integer number (5167981).

Almost surely, 2^137763765 is an apocalyptic number.

137763765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137763765 is a deficient number, since it is larger than the sum of its proper divisors (110299323).

137763765 is a wasteful number, since it uses less digits than its factorization.

137763765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 995 counting only the distinct ones).

The product of its digits is 555660, while the sum is 45.

The square root of 137763765 is about 11737.2809883721. The cubic root of 137763765 is about 516.4698825116.

The spelling of 137763765 in words is "one hundred thirty-seven million, seven hundred sixty-three thousand, seven hundred sixty-five".