137401921 has 2 divisors, whose sum is σ = 137401922. Its totient is φ = 137401920.

The previous prime is 137401919. The next prime is 137401933. The reversal of 137401921 is 129104731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84272400 + 53129521 = 9180^2 + 7289^2 .

It is a cyclic number.

It is not a de Polignac number, because 137401921 - 2¹ = 137401919 is a prime.

Together with 137401919, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137401921.

It is not a weakly prime, because it can be changed into another prime (137401961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68700960 + 68700961.

It is an arithmetic number, because the mean of its divisors is an integer number (68700961).

Almost surely, 2^137401921 is an apocalyptic number.

It is an amenable number.

137401921 is a deficient number, since it is larger than the sum of its proper divisors (1).

137401921 is an equidigital number, since it uses as much as digits as its factorization.

137401921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 137401921 is about 11721.8565509052. The cubic root of 137401921 is about 516.0173073237.

The spelling of 137401921 in words is "one hundred thirty-seven million, four hundred one thousand, nine hundred twenty-one".