1337399731600 has 135 divisors (see below), whose sum is σ = 3277875763939. Its totient is φ = 524385222400.

The previous prime is 1337399731597. The next prime is 1337399731607. The reversal of 1337399731600 is 61379937331.

The square root of 1337399731600 is 1156460.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10074538384 + 1327325193216 = 100372^2 + 1152096^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1337399731607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1225847055 + ... + 1225848145.

Almost surely, 2^{1337399731600} is an apocalyptic number.

1337399731600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1337399731600 is the 1156460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1337399731600

1337399731600 is an abundant number, since it is smaller than the sum of its proper divisors (1940476032339).

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

1337399731600 is an frugal number, since it uses more digits than its factorization.

1337399731600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 1928934, while the sum is 52.

The spelling of 1337399731600 in words is "one trillion, three hundred thirty-seven billion, three hundred ninety-nine million, seven hundred thirty-one thousand, six hundred".