137631040 has 56 divisors (see below), whose sum is σ = 334743552. Its totient is φ = 53875200.

The previous prime is 137631029. The next prime is 137631047. The reversal of 137631040 is 40136731.

It is a junction number, because it is equal to n+sod(n) for n = 137630996 and 137631014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137631047) 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, 10465 + ... + 19615.

Almost surely, 2^137631040 is an apocalyptic number.

137631040 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 137631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167371776).

137631040 is an abundant number, since it is smaller than the sum of its proper divisors (197112512).

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

137631040 is an equidigital number, since it uses as much as digits as its factorization.

137631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9215 (or 9205 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 137631040 is about 11731.6256333042. The cubic root of 137631040 is about 516.3039692888.

Adding to 137631040 its reverse (40136731), we get a palindrome (177767771).

The spelling of 137631040 in words is "one hundred thirty-seven million, six hundred thirty-one thousand, forty".