137540126540 has 48 divisors (see below), whose sum is σ = 292590144000. Its totient is φ = 54301121472.

The previous prime is 137540126533. The next prime is 137540126557. The reversal of 137540126540 is 45621045731.

It is a junction number, because it is equal to n+sod(n) for n = 137540126494 and 137540126503.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5199227 + ... + 5225613.

It is an arithmetic number, because the mean of its divisors is an integer number (6095628000).

Almost surely, 2^137540126540 is an apocalyptic number.

137540126540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137540126540 is an abundant number, since it is smaller than the sum of its proper divisors (155050017460).

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

137540126540 is a wasteful number, since it uses less digits than its factorization.

137540126540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29774 (or 29772 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The spelling of 137540126540 in words is "one hundred thirty-seven billion, five hundred forty million, one hundred twenty-six thousand, five hundred forty".