137314090453248 has 756 divisors, whose sum is σ = 423254627402880. Its totient is φ = 44433367879680.

The previous prime is 137314090453237. The next prime is 137314090453249. The reversal of 137314090453248 is 842354090413731.

137314090453248 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 14 + 0 + 90 + 4 + 532 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 137314090453194 and 137314090453203.

It is not an unprimeable number, because it can be changed into a prime (137314090453249) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 54859803165 + ... + 54859805667.

Almost surely, 2^{137314090453248} is an apocalyptic number.

137314090453248 is a gapful number since it is divisible by the number (18) 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 137314090453248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211627313701440).

137314090453248 is an abundant number, since it is smaller than the sum of its proper divisors (285940536949632).

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

137314090453248 is an frugal number, since it uses more digits than its factorization.

137314090453248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 137314090453248 in words is "one hundred thirty-seven trillion, three hundred fourteen billion, ninety million, four hundred fifty-three thousand, two hundred forty-eight".