137202021 has 54 divisors (see below), whose sum is σ = 230562150. Its totient is φ = 78550560.

The previous prime is 137202011. The next prime is 137202041. The reversal of 137202021 is 120202731.

It can be written as a sum of positive squares in only one way, i.e., 127373796 + 9828225 = 11286^2 + 3135^2 .

It is not a de Polignac number, because 137202021 - 2⁷ = 137201893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137201985 and 137202003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137202011) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 392955 + ... + 393303.

Almost surely, 2^137202021 is an apocalyptic number.

137202021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

137202021 is a deficient number, since it is larger than the sum of its proper divisors (93360129).

137202021 is a wasteful number, since it uses less digits than its factorization.

137202021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 137202021 is about 11713.3266410529. The cubic root of 137202021 is about 515.7669422556.

Adding to 137202021 its reverse (120202731), we get a palindrome (257404752).

The spelling of 137202021 in words is "one hundred thirty-seven million, two hundred two thousand, twenty-one".