137460753 has 16 divisors (see below), whose sum is σ = 203842240. Its totient is φ = 91552032.

The previous prime is 137460721. The next prime is 137460761. The reversal of 137460753 is 357064731.

It is not a de Polignac number, because 137460753 - 2⁵ = 137460721 is a prime.

It is a super-3 number, since 3×137460753³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137460703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38325 + ... + 41757.

It is an arithmetic number, because the mean of its divisors is an integer number (12740140).

Almost surely, 2^137460753 is an apocalyptic number.

It is an amenable number.

137460753 is a deficient number, since it is larger than the sum of its proper divisors (66381487).

137460753 is a wasteful number, since it uses less digits than its factorization.

137460753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4925 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 137460753 is about 11724.3657824208. The cubic root of 137460753 is about 516.0909453003.

The spelling of 137460753 in words is "one hundred thirty-seven million, four hundred sixty thousand, seven hundred fifty-three".