137631104 has 64 divisors (see below), whose sum is σ = 298423440. Its totient is φ = 62846976.

The previous prime is 137631101. The next prime is 137631119. The reversal of 137631104 is 401136731.

137631104 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 (64).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137631101) 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, 177662 + ... + 178434.

Almost surely, 2^137631104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137631104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149211720).

137631104 is an abundant number, since it is smaller than the sum of its proper divisors (160792336).

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

137631104 is a wasteful number, since it uses less digits than its factorization.

137631104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 137631104 is about 11731.6283609736. The cubic root of 137631104 is about 516.3040493178.

Adding to 137631104 its reverse (401136731), we get a palindrome (538767835).

The spelling of 137631104 in words is "one hundred thirty-seven million, six hundred thirty-one thousand, one hundred four".