137461010125560 has 256 divisors, whose sum is σ = 450712409702400. Its totient is φ = 33261685516800.

The previous prime is 137461010125493. The next prime is 137461010125561. The reversal of 137461010125560 is 65521010164731.

137461010125560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137461010125561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3633535845 + ... + 3633573675.

It is an arithmetic number, because the mean of its divisors is an integer number (1760595350400).

Almost surely, 2^{137461010125560} is an apocalyptic number.

137461010125560 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 137461010125560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225356204851200).

137461010125560 is an abundant number, since it is smaller than the sum of its proper divisors (313251399576840).

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

137461010125560 is a wasteful number, since it uses less digits than its factorization.

137461010125560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42922 (or 42918 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 137461010125560 in words is "one hundred thirty-seven trillion, four hundred sixty-one billion, ten million, one hundred twenty-five thousand, five hundred sixty".