137436083105940 has 240 divisors, whose sum is σ = 457811446554000. Its totient is φ = 34394923634688.

The previous prime is 137436083105921. The next prime is 137436083105969. The reversal of 137436083105940 is 49501380634731.

137436083105940 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 36 + 0 + 8 + 3 + 10 + 594 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 32035101921936 + 105400981184004 = 5659956^2 + 10266498^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2461866 + ... + 16761054.

It is an arithmetic number, because the mean of its divisors is an integer number (1907547693975).

Almost surely, 2^{137436083105940} is an apocalyptic number.

137436083105940 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 137436083105940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228905723277000).

137436083105940 is an abundant number, since it is smaller than the sum of its proper divisors (320375363448060).

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

137436083105940 is a wasteful number, since it uses less digits than its factorization.

137436083105940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14299576 (or 14299565 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 137436083105940 in words is "one hundred thirty-seven trillion, four hundred thirty-six billion, eighty-three million, one hundred five thousand, nine hundred forty".