137098401 has 8 divisors (see below), whose sum is σ = 199415904. Its totient is φ = 83089920.

The previous prime is 137098391. The next prime is 137098411. The reversal of 137098401 is 104890731.

It is an interprime number because it is at equal distance from previous prime (137098391) and next prime (137098411).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 137098401 - 2⁵ = 137098369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 4154497 = 137098401 / (1 + 3 + 7 + 0 + 9 + 8 + 4 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (137098411) 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 7 ways as a sum of consecutive naturals, for example, 2077216 + ... + 2077281.

It is an arithmetic number, because the mean of its divisors is an integer number (24926988).

Almost surely, 2^137098401 is an apocalyptic number.

137098401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

137098401 is a deficient number, since it is larger than the sum of its proper divisors (62317503).

137098401 is a wasteful number, since it uses less digits than its factorization.

137098401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4154511.

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 137098401 is about 11708.9026385909. The cubic root of 137098401 is about 515.6370675156.

The spelling of 137098401 in words is "one hundred thirty-seven million, ninety-eight thousand, four hundred one".