137641140 has 192 divisors, whose sum is σ = 527224320. Its totient is φ = 29030400.

The previous prime is 137641139. The next prime is 137641169. The reversal of 137641140 is 41146731.

It is a happy number.

137641140 is a `hidden beast` number, since 1 + 3 + 7 + 641 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47740 + ... + 50540.

It is an arithmetic number, because the mean of its divisors is an integer number (2745960).

Almost surely, 2^137641140 is an apocalyptic number.

137641140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137641140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263612160).

137641140 is an abundant number, since it is smaller than the sum of its proper divisors (389583180).

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

137641140 is a wasteful number, since it uses less digits than its factorization.

137641140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 137641140 is about 11732.0560857848. The cubic root of 137641140 is about 516.3165985681.

Adding to 137641140 its reverse (41146731), we get a palindrome (178787871).

The spelling of 137641140 in words is "one hundred thirty-seven million, six hundred forty-one thousand, one hundred forty".