137677536 has 48 divisors (see below), whose sum is σ = 401562000. Its totient is φ = 45892224.

The previous prime is 137677513. The next prime is 137677537. The reversal of 137677536 is 635776731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 137677491 and 137677500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137677537) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 78811 + ... + 80538.

It is an arithmetic number, because the mean of its divisors is an integer number (8365875).

Almost surely, 2^137677536 is an apocalyptic number.

137677536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137677536 is an abundant number, since it is smaller than the sum of its proper divisors (263884464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137677536 is a wasteful number, since it uses less digits than its factorization.

137677536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159368 (or 159354 counting only the distinct ones).

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

The square root of 137677536 is about 11733.6071180179. The cubic root of 137677536 is about 516.3621038649.

The spelling of 137677536 in words is "one hundred thirty-seven million, six hundred seventy-seven thousand, five hundred thirty-six".