137125232640 has 544 divisors, whose sum is σ = 532253116800. Its totient is φ = 33218887680.

The previous prime is 137125232623. The next prime is 137125232663. The reversal of 137125232640 is 46232521731.

137125232640 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 2 + 5 + 2 + 3 + 2 + 640 = 666.

137125232640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 137125232595 and 137125232604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97320256 + ... + 97321664.

Almost surely, 2^137125232640 is an apocalyptic number.

137125232640 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 137125232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266126558400).

137125232640 is an abundant number, since it is smaller than the sum of its proper divisors (395127884160).

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

137125232640 is an equidigital number, since it uses as much as digits as its factorization.

137125232640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 137125232640 in words is "one hundred thirty-seven billion, one hundred twenty-five million, two hundred thirty-two thousand, six hundred forty".