137137040 has 40 divisors (see below), whose sum is σ = 332710848. Its totient is φ = 52469120.

The previous prime is 137137001. The next prime is 137137057. The reversal of 137137040 is 40731731.

137137040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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, 35426 + ... + 39105.

Almost surely, 2^137137040 is an apocalyptic number.

137137040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137137040 is an abundant number, since it is smaller than the sum of its proper divisors (195573808).

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

137137040 is a wasteful number, since it uses less digits than its factorization.

137137040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74567 (or 74561 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 137137040 is about 11710.5525061801. The cubic root of 137137040 is about 515.6855043295.

Adding to 137137040 its reverse (40731731), we get a palindrome (177868771).

The spelling of 137137040 in words is "one hundred thirty-seven million, one hundred thirty-seven thousand, forty".