137415040 has 128 divisors (see below), whose sum is σ = 386049600. Its totient is φ = 45785088.

The previous prime is 137415017. The next prime is 137415181. The reversal of 137415040 is 40514731.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 137414996 and 137415014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165346 + ... + 166174.

Almost surely, 2^137415040 is an apocalyptic number.

137415040 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 137415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193024800).

137415040 is an abundant number, since it is smaller than the sum of its proper divisors (248634560).

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

137415040 is an equidigital number, since it uses as much as digits as its factorization.

137415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 137415040 is about 11722.4161332039. The cubic root of 137415040 is about 516.0337297423.

Adding to 137415040 its reverse (40514731), we get a palindrome (177929771).

It can be divided in two parts, 13741 and 5040, that added together give a palindrome (18781).

The spelling of 137415040 in words is "one hundred thirty-seven million, four hundred fifteen thousand, forty".