137600676 has 18 divisors (see below), whose sum is σ = 347824022. Its totient is φ = 45866880.

The previous prime is 137600653. The next prime is 137600677. The reversal of 137600676 is 676006731.

137600676 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 127103076 + 10497600 = 11274^2 + 3240^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3822241 = 137600676 / (1 + 3 + 7 + 6 + 0 + 0 + 6 + 7 + 6).

137600676 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 137600676.

It is not an unprimeable number, because it can be changed into a prime (137600677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1911085 + ... + 1911156.

Almost surely, 2^137600676 is an apocalyptic number.

It is an amenable number.

137600676 is an abundant number, since it is smaller than the sum of its proper divisors (210223346).

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

137600676 is a wasteful number, since it uses less digits than its factorization.

137600676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3822251 (or 3822246 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 137600676 is about 11730.3314531176. The cubic root of 137600676 is about 516.2659977024.

The spelling of 137600676 in words is "one hundred thirty-seven million, six hundred thousand, six hundred seventy-six".