137015040 has 144 divisors (see below), whose sum is σ = 452100096. Its totient is φ = 35328000.

The previous prime is 137014987. The next prime is 137015041. The reversal of 137015040 is 40510731.

It is a junction number, because it is equal to n+sod(n) for n = 137014998 and 137015016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137015041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118465 + ... + 119615.

It is an arithmetic number, because the mean of its divisors is an integer number (3139584).

Almost surely, 2^137015040 is an apocalyptic number.

137015040 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 137015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226050048).

137015040 is an abundant number, since it is smaller than the sum of its proper divisors (315085056).

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

137015040 is a wasteful number, since it uses less digits than its factorization.

137015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 137015040 is about 11705.3423700463. The cubic root of 137015040 is about 515.5325373966.

Adding to 137015040 its reverse (40510731), we get a palindrome (177525771).

The spelling of 137015040 in words is "one hundred thirty-seven million, fifteen thousand, forty".