137575640 has 32 divisors (see below), whose sum is σ = 309890880. Its totient is φ = 54968832.

The previous prime is 137575597. The next prime is 137575649. The reversal of 137575640 is 46575731.

It is a junction number, because it is equal to n+sod(n) for n = 137575594 and 137575603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137575649) 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, 55712 + ... + 58128.

It is an arithmetic number, because the mean of its divisors is an integer number (9684090).

Almost surely, 2^137575640 is an apocalyptic number.

137575640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137575640 is an abundant number, since it is smaller than the sum of its proper divisors (172315240).

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

137575640 is a wasteful number, since it uses less digits than its factorization.

137575640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3851 (or 3847 counting only the distinct ones).

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

The square root of 137575640 is about 11729.2642565508. The cubic root of 137575640 is about 516.2346848245.

Subtracting from 137575640 its reverse (46575731), we obtain a palindrome (90999909).

The spelling of 137575640 in words is "one hundred thirty-seven million, five hundred seventy-five thousand, six hundred forty".