137541640 has 32 divisors (see below), whose sum is σ = 310025880. Its totient is φ = 54917632.

The previous prime is 137541619. The next prime is 137541647. The reversal of 137541640 is 46145731.

It can be written as a sum of positive squares in 4 ways, for example, as 32970564 + 104571076 = 5742^2 + 10226^2 .

It is not an unprimeable number, because it can be changed into a prime (137541647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21894 + ... + 27466.

Almost surely, 2^137541640 is an apocalyptic number.

137541640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137541640 is an abundant number, since it is smaller than the sum of its proper divisors (172484240).

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

137541640 is a wasteful number, since it uses less digits than its factorization.

137541640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6201 (or 6197 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 137541640 is about 11727.8148007206. The cubic root of 137541640 is about 516.1921544623.

The spelling of 137541640 in words is "one hundred thirty-seven million, five hundred forty-one thousand, six hundred forty".