137573540 has 24 divisors (see below), whose sum is σ = 311128440. Its totient is φ = 50796288.

The previous prime is 137573539. The next prime is 137573561. The reversal of 137573540 is 45375731.

137573540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 21752896 + 115820644 = 4664^2 + 10762^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 137573540.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 264305 + ... + 264824.

It is an arithmetic number, because the mean of its divisors is an integer number (12963685).

Almost surely, 2^137573540 is an apocalyptic number.

137573540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137573540 is an abundant number, since it is smaller than the sum of its proper divisors (173554900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137573540 is a wasteful number, since it uses less digits than its factorization.

137573540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529151 (or 529149 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 35.

The square root of 137573540 is about 11729.1747365277. The cubic root of 137573540 is about 516.2320581523.

The spelling of 137573540 in words is "one hundred thirty-seven million, five hundred seventy-three thousand, five hundred forty".