137505747 has 8 divisors (see below), whose sum is σ = 183398400. Its totient is φ = 91641800.

The previous prime is 137505713. The next prime is 137505749. The reversal of 137505747 is 747505731.

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

It is a cyclic number.

It is not a de Polignac number, because 137505747 - 2¹⁰ = 137504723 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137505749) 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, 9622 + ... + 19172.

It is an arithmetic number, because the mean of its divisors is an integer number (22924800).

Almost surely, 2^137505747 is an apocalyptic number.

137505747 is a deficient number, since it is larger than the sum of its proper divisors (45892653).

137505747 is an equidigital number, since it uses as much as digits as its factorization.

137505747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14353.

The product of its (nonzero) digits is 102900, while the sum is 39.

The square root of 137505747 is about 11726.2844499014. The cubic root of 137505747 is about 516.1472485538.

The spelling of 137505747 in words is "one hundred thirty-seven million, five hundred five thousand, seven hundred forty-seven".