137813202 has 18 divisors (see below), whose sum is σ = 298703223. Its totient is φ = 45921132.

The previous prime is 137813189. The next prime is 137813227. The reversal of 137813202 is 202318731.

137813202 is digitally balanced in base 2 and base 3, 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., 68906601 + 68906601 = 8301^2 + 8301^2 .

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

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=8301.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 48423 + ... + 51189.

Almost surely, 2^137813202 is an apocalyptic number.

137813202 is an abundant number, since it is smaller than the sum of its proper divisors (160890021).

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

137813202 is an frugal number, since it uses more digits than its factorization.

137813202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5542 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 137813202 is about 11739.3867812591. The cubic root of 137813202 is about 516.5316541199.

The spelling of 137813202 in words is "one hundred thirty-seven million, eight hundred thirteen thousand, two hundred two".