137141040 has 80 divisors (see below), whose sum is σ = 450158688. Its totient is φ = 34418688.

The previous prime is 137141021. The next prime is 137141041. The reversal of 137141040 is 40141731.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 137140998 and 137141016.

It is not an unprimeable number, because it can be changed into a prime (137141041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12727 + ... + 20886.

Almost surely, 2^137141040 is an apocalyptic number.

137141040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137141040 is an abundant number, since it is smaller than the sum of its proper divisors (313017648).

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

137141040 is a wasteful number, since it uses less digits than its factorization.

137141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33646 (or 33640 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 137141040 is about 11710.7232910696. The cubic root of 137141040 is about 515.6905181025.

Adding to 137141040 its reverse (40141731), we get a palindrome (177282771).

The spelling of 137141040 in words is "one hundred thirty-seven million, one hundred forty-one thousand, forty".