137756540 has 24 divisors (see below), whose sum is σ = 294749280. Its totient is φ = 54062528.

The previous prime is 137756533. The next prime is 137756611. The reversal of 137756540 is 45657731.

It is a super-3 number, since 3×137756540³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137756494 and 137756503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63920 + ... + 66039.

It is an arithmetic number, because the mean of its divisors is an integer number (12281220).

Almost surely, 2^137756540 is an apocalyptic number.

137756540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137756540 is an abundant number, since it is smaller than the sum of its proper divisors (156992740).

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

137756540 is a wasteful number, since it uses less digits than its factorization.

137756540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130021 (or 130019 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 38.

The square root of 137756540 is about 11736.9732043658. The cubic root of 137756540 is about 516.4608536252.

The spelling of 137756540 in words is "one hundred thirty-seven million, seven hundred fifty-six thousand, five hundred forty".