137205049744 has 45 divisors (see below), whose sum is σ = 309259758657. Its totient is φ = 58797719232.

The previous prime is 137205049741. The next prime is 137205049747. The reversal of 137205049744 is 447940502731.

The square root of 137205049744 is 370412.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (137205049741) and next prime (137205049747).

It can be written as a sum of positive squares in only one way, i.e., 137039155344 + 165894400 = 370188^2 + 12880^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137205049694 and 137205049703.

It is not an unprimeable number, because it can be changed into a prime (137205049741) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10364922 + ... + 10378150.

Almost surely, 2^137205049744 is an apocalyptic number.

137205049744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

137205049744 is the 370412-nd square number.

It is an amenable number.

137205049744 is an abundant number, since it is smaller than the sum of its proper divisors (172054708913).

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

137205049744 is an frugal number, since it uses more digits than its factorization.

137205049744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26480 (or 13238 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The spelling of 137205049744 in words is "one hundred thirty-seven billion, two hundred five million, forty-nine thousand, seven hundred forty-four".