137521040 has 80 divisors (see below), whose sum is σ = 328104000. Its totient is φ = 53592576.

The previous prime is 137521037. The next prime is 137521063. The reversal of 137521040 is 40125731.

137521040 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 (80).

It is a junction number, because it is equal to n+sod(n) for n = 137520997 and 137521015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 922886 + ... + 923034.

It is an arithmetic number, because the mean of its divisors is an integer number (4101300).

Almost surely, 2^137521040 is an apocalyptic number.

137521040 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 137521040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164052000).

137521040 is an abundant number, since it is smaller than the sum of its proper divisors (190582960).

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

137521040 is a wasteful number, since it uses less digits than its factorization.

137521040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 137521040 is about 11726.9365138556. The cubic root of 137521040 is about 516.1663826566.

Adding to 137521040 its reverse (40125731), we get a palindrome (177646771).

The spelling of 137521040 in words is "one hundred thirty-seven million, five hundred twenty-one thousand, forty".