137783540 has 24 divisors (see below), whose sum is σ = 289595040. Its totient is φ = 55065888.

The previous prime is 137783533. The next prime is 137783549. The reversal of 137783540 is 45387731.

It is a junction number, because it is equal to n+sod(n) for n = 137783494 and 137783503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137783549) by changing a digit.

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, 29399 + ... + 33761.

It is an arithmetic number, because the mean of its divisors is an integer number (12066460).

Almost surely, 2^137783540 is an apocalyptic number.

137783540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137783540 is an abundant number, since it is smaller than the sum of its proper divisors (151811500).

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

137783540 is a wasteful number, since it uses less digits than its factorization.

137783540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5951 (or 5949 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 137783540 is about 11738.1233593790. The cubic root of 137783540 is about 516.4945931779.

The spelling of 137783540 in words is "one hundred thirty-seven million, seven hundred eighty-three thousand, five hundred forty".