137780401 has 6 divisors (see below), whose sum is σ = 151444706. Its totient is φ = 125254800.

The previous prime is 137780389. The next prime is 137780407. The reversal of 137780401 is 104087731.

It can be written as a sum of positive squares in only one way, i.e., 132135025 + 5645376 = 11495^2 + 2376^2 .

It is not a de Polignac number, because 137780401 - 2¹³ = 137772209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137780407) 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, 569220 + ... + 569461.

Almost surely, 2^137780401 is an apocalyptic number.

137780401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

137780401 is a deficient number, since it is larger than the sum of its proper divisors (13664305).

137780401 is a wasteful number, since it uses less digits than its factorization.

137780401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138703 (or 1138692 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 137780401 is about 11737.9896489987. The cubic root of 137780401 is about 516.4906708689.

The spelling of 137780401 in words is "one hundred thirty-seven million, seven hundred eighty thousand, four hundred one".