137457341473540 has 192 divisors, whose sum is σ = 332082203120640. Its totient is φ = 47267188277760.

The previous prime is 137457341473519. The next prime is 137457341473549. The reversal of 137457341473540 is 45374143754731.

It is not an unprimeable number, because it can be changed into a prime (137457341473549) 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, 9743903167 + ... + 9743917273.

It is an arithmetic number, because the mean of its divisors is an integer number (1729594807920).

Almost surely, 2^{137457341473540} is an apocalyptic number.

137457341473540 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 137457341473540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166041101560320).

137457341473540 is an abundant number, since it is smaller than the sum of its proper divisors (194624861647100).

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

137457341473540 is a wasteful number, since it uses less digits than its factorization.

137457341473540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18242 (or 18240 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 58.

The spelling of 137457341473540 in words is "one hundred thirty-seven trillion, four hundred fifty-seven billion, three hundred forty-one million, four hundred seventy-three thousand, five hundred forty".