137541540 has 24 divisors (see below), whose sum is σ = 385116480. Its totient is φ = 36677728.

The previous prime is 137541529. The next prime is 137541559. The reversal of 137541540 is 45145731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 137541498 and 137541507.

It is an unprimeable number.

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, 1146120 + ... + 1146239.

It is an arithmetic number, because the mean of its divisors is an integer number (16046520).

Almost surely, 2^137541540 is an apocalyptic number.

137541540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137541540 is an abundant number, since it is smaller than the sum of its proper divisors (247574940).

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

137541540 is a wasteful number, since it uses less digits than its factorization.

137541540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292371 (or 2292369 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 137541540 is about 11727.8105373510. The cubic root of 137541540 is about 516.1920293627.

The spelling of 137541540 in words is "one hundred thirty-seven million, five hundred forty-one thousand, five hundred forty".