1337085192976 has 135 divisors (see below), whose sum is σ = 2887879345533. Its totient is φ = 599438361600.

The previous prime is 1337085192943. The next prime is 1337085193079. The reversal of 1337085192976 is 6792915807331.

It is a happy number.

The square root of 1337085192976 is 1156324.

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

It can be written as a sum of positive squares in 13 ways, for example, as 154037410576 + 1183047782400 = 392476^2 + 1087680^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2224767076 + ... + 2224767676.

Almost surely, 2^{1337085192976} is an apocalyptic number.

1337085192976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1337085192976 is the 1156324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1337085192976

1337085192976 is an abundant number, since it is smaller than the sum of its proper divisors (1550794152557).

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

1337085192976 is an frugal number, since it uses more digits than its factorization.

1337085192976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 61.

The spelling of 1337085192976 in words is "one trillion, three hundred thirty-seven billion, eighty-five million, one hundred ninety-two thousand, nine hundred seventy-six".