137893540 has 24 divisors (see below), whose sum is σ = 291526200. Its totient is φ = 54786048.

The previous prime is 137893531. The next prime is 137893541. The reversal of 137893540 is 45398731.

It can be written as a sum of positive squares in 4 ways, for example, as 112896 + 137780644 = 336^2 + 11738^2 .

It is a junction number, because it is equal to n+sod(n) for n = 137893493 and 137893502.

It is not an unprimeable number, because it can be changed into a prime (137893541) 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, 20157 + ... + 26116.

It is an arithmetic number, because the mean of its divisors is an integer number (12146925).

Almost surely, 2^137893540 is an apocalyptic number.

137893540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137893540 is an abundant number, since it is smaller than the sum of its proper divisors (153632660).

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

137893540 is a wasteful number, since it uses less digits than its factorization.

137893540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46431 (or 46429 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 137893540 is about 11742.8080117151. The cubic root of 137893540 is about 516.6320050744.

The spelling of 137893540 in words is "one hundred thirty-seven million, eight hundred ninety-three thousand, five hundred forty".