137742785401 has 32 divisors (see below), whose sum is σ = 151316605440. Its totient is φ = 124618368000.

The previous prime is 137742785359. The next prime is 137742785419. The reversal of 137742785401 is 104587247731.

It is a cyclic number.

It is not a de Polignac number, because 137742785401 - 2¹³ = 137742777209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137742780401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196494351 + ... + 196495051.

It is an arithmetic number, because the mean of its divisors is an integer number (4728643920).

Almost surely, 2^137742785401 is an apocalyptic number.

It is an amenable number.

137742785401 is a deficient number, since it is larger than the sum of its proper divisors (13573820039).

137742785401 is a wasteful number, since it uses less digits than its factorization.

137742785401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737.

The product of its (nonzero) digits is 1317120, while the sum is 49.

The spelling of 137742785401 in words is "one hundred thirty-seven billion, seven hundred forty-two million, seven hundred eighty-five thousand, four hundred one".